Cremona's table of elliptic curves

124830 = 2 · 3² · 5 · 19 · 73

Class	r	Atkin-Lehner	Eigenvalues
124830a (2 curves)	1	2+ 3+ 5+ 19+ 73+	2+ 3+ 5+  0  4 -2  0 19+
Curve Equation t Generators 124830a1 [1,-1,0,-1105530,551016116] 2 [512200:10550327:512] 124830a2 [1,-1,0,-18800250,31378757300] 2 [18830:92915:8]
124830b (1 curve)	1	2+ 3+ 5+ 19+ 73+	2+ 3+ 5+ -1  0 -2  4 19+
Curve Equation t Generators 124830b1 [1,-1,0,60,1256] 1 [-5:31:1]
124830c (1 curve)	1	2+ 3+ 5+ 19+ 73+	2+ 3+ 5+ -1 -2  7  0 19+
Curve Equation t Generators 124830c1 [1,-1,0,-7500,251856] 1 [51:-18:1]
124830d (2 curves)	0	2+ 3+ 5+ 19+ 73-	2+ 3+ 5+  0  4 -6  8 19+
Curve Equation t 124830d1 [1,-1,0,-16755,-1772299] 2 124830d2 [1,-1,0,-345075,-77876875] 2
124830e (1 curve)	0	2+ 3+ 5+ 19- 73+	2+ 3+ 5+ -1  4 -5 -2 19-
Curve Equation t 124830e1 [1,-1,0,-1770,-28180] 1
124830f (2 curves)	0	2+ 3+ 5+ 19- 73+	2+ 3+ 5+ -4  4 -2  4 19-
Curve Equation t 124830f1 [1,-1,0,1544520,-2886788800] 2 124830f2 [1,-1,0,-23407800,-40320259264] 2
124830g (2 curves)	1	2+ 3+ 5+ 19- 73-	2+ 3+ 5+ -2  0 -2 -2 19-
Curve Equation t Generators 124830g1 [1,-1,0,-115980,14887376] 2 [233:571:1] 124830g2 [1,-1,0,-1843980,964250576] 2 [803:511:1]
124830h (2 curves)	0	2+ 3+ 5- 19+ 73+	2+ 3+ 5-  2  6  4 -2 19+
Curve Equation t 124830h1 [1,-1,0,-143199,43132493] 2 124830h2 [1,-1,0,-2915679,1915665485] 2
124830i (2 curves)	0	2+ 3+ 5- 19+ 73+	2+ 3+ 5-  4  0  2  2 19+
Curve Equation t 124830i1 [1,-1,0,-28794,-1820700] 2 124830i2 [1,-1,0,8706,-6253200] 2
124830j (2 curves)	0	2+ 3+ 5- 19+ 73+	2+ 3+ 5- -4  2  4  0 19+
Curve Equation t 124830j1 [1,-1,0,-128926149,504558807893] 2 124830j2 [1,-1,0,-497266629,-3733051078315] 2
124830k (2 curves)	0	2+ 3+ 5- 19+ 73+	2+ 3+ 5- -4 -6  4  0 19+
Curve Equation t 124830k1 [1,-1,0,-96189,-11350927] 2 124830k2 [1,-1,0,-1535019,-731629225] 2
124830l (1 curve)	1	2+ 3+ 5- 19- 73+	2+ 3+ 5-  3  0  3  6 19-
Curve Equation t Generators 124830l1 [1,-1,0,-10599,-340867] 1 [-61:306:1]
124830m (1 curve)	2	2+ 3+ 5- 19- 73-	2+ 3+ 5-  1 -6 -5 -4 19-
Curve Equation t Generators 124830m1 [1,-1,0,-508854,130399660] 1 [-591:15277:1]&[131:-8188:1]
124830n (4 curves)	0	2+ 3+ 5- 19- 73-	2+ 3+ 5-  2  0  2 -6 19-
Curve Equation t 124830n1 [1,-1,0,-62544,-2368692] 6 124830n2 [1,-1,0,-531294,147537558] 6 124830n3 [1,-1,0,-4159419,-3264063067] 2 124830n4 [1,-1,0,-4186419,-3219518467] 2
124830o (2 curves)	0	2+ 3- 5+ 19+ 73+	2+ 3- 5+  0  6  4 -6 19+
Curve Equation t 124830o1 [1,-1,0,-41220,-13667504] 2 124830o2 [1,-1,0,-1147140,-471297200] 2
124830p (1 curve)	0	2+ 3- 5+ 19+ 73+	2+ 3- 5+ -1  1 -2 -3 19+
Curve Equation t 124830p1 [1,-1,0,-12240,-601344] 1
124830q (2 curves)	0	2+ 3- 5+ 19+ 73+	2+ 3- 5+  2 -2  4 -6 19+
Curve Equation t 124830q1 [1,-1,0,-481647375,3891618118125] 2 124830q2 [1,-1,0,-7612812495,255663107611821] 2
124830r (1 curve)	1	2+ 3- 5+ 19+ 73-	2+ 3- 5+  3 -4 -3  4 19+
Curve Equation t Generators 124830r1 [1,-1,0,-1514520,716150200] 1 [42612:81697:64]
124830s (4 curves)	1	2+ 3- 5+ 19+ 73-	2+ 3- 5+  4  0  6 -2 19+
Curve Equation t Generators 124830s1 [1,-1,0,-253293345,-1550753132675] 2 [-1013463992970310:3617664419877455:110453817592] 124830s2 [1,-1,0,-300479265,-932532646019] 4 [246236515323782041627648034878:-46149860332783434030730289354939:5790762888417495115712936] 124830s3 [1,-1,0,1046946015,-6996215891075] 2 [7442301717914:1688269018881413:588480472] 124830s4 [1,-1,0,-2402879265,44696695513981] 2 [159452403270226872806:-9110264606610538015603:6963822393386347]
124830t (2 curves)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+  0 -6  6  0 19-
Curve Equation t Generators 124830t1 [1,-1,0,-866340,310583056] 2 [528:116:1] 124830t2 [1,-1,0,-840060,330287800] 2 [83:16118:1]
124830u (2 curves)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+  2  2 -4 -4 19-
Curve Equation t Generators 124830u1 [1,-1,0,-3461490,2391315156] 2 [372:3116289:64] 124830u2 [1,-1,0,-9060210,-7293350700] 2 [27534:368607:8]
124830v (2 curves)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+  2  4 -2 -6 19-
Curve Equation t Generators 124830v1 [1,-1,0,-630,4576] 2 [-10:104:1] 124830v2 [1,-1,0,1620,28426] 2 [3:181:1]
124830w (2 curves)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+ -2  4 -6  0 19-
Curve Equation t Generators 124830w1 [1,-1,0,-4156605,3516016261] 2 [-838:80483:1] 124830w2 [1,-1,0,-67929525,215509956925] 2 [37870:2935:8]
124830x (1 curve)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+ -3  1 -4 -6 19-
Curve Equation t Generators 124830x1 [1,-1,0,-630,6210] 1 [13:3:1]
124830y (1 curve)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+ -3 -2 -1 -6 19-
Curve Equation t Generators 124830y1 [1,-1,0,-1186920,-493542720] 1 [2763:-132966:1]
124830z (1 curve)	1	2+ 3- 5+ 19- 73+	2+ 3- 5+  5  4  1  0 19-
Curve Equation t Generators 124830z1 [1,-1,0,-2699953650,-53997934523180] 1 [-891117000217516604293389541409686078132844340979980261573712973691608866125291689543230778705663043481191427941:445558693848258996039433522905662658376417768558560239911426479607371313635560156863224828351499034943850994762:29704402505915803926418813654702762440770343617006227689042233259583423160603821377730021962212440406062843]
124830ba (2 curves)	2	2+ 3- 5+ 19- 73-	2+ 3- 5+ -1 -6 -7 -6 19-
Curve Equation t Generators 124830ba1 [1,-1,0,-3600,-81864] 1 [-35:36:1]&[-33:30:1] 124830ba2 [1,-1,0,-21150,1130706] 3 [-165:411:1]&[-1074:10455:8]
124830bb (4 curves)	2	2+ 3- 5+ 19- 73-	2+ 3- 5+  2 -6  2  0 19-
Curve Equation t Generators 124830bb1 [1,-1,0,-201555,-34309899] 2 [-258:813:1]&[-242:621:1] 124830bb2 [1,-1,0,-16875,-94921875] 2 [633:11838:1]&[1281:43905:1] 124830bb3 [1,-1,0,-1700055,837161001] 6 [-1500:3999:1]&[-1382:24051:1] 124830bb4 [1,-1,0,151875,2562789375] 6 [-1329:4170:1]&[-3450:395025:8]
124830bc (4 curves)	2	2+ 3- 5+ 19- 73-	2+ 3- 5+ -4  0 -2 -6 19-
Curve Equation t Generators 124830bc1 [1,-1,0,-39330,2924100] 2 [-152:2394:1]&[-120:2490:1] 124830bc2 [1,-1,0,-624150,189949536] 4 [475:-931:1]&[240:7224:1] 124830bc3 [1,-1,0,-619020,193221450] 2 [-747:15813:1]&[421:-2875:1] 124830bc4 [1,-1,0,-9986400,12149287686] 2 [1825:-894:1]&[955080:1067607:512]
124830bd (2 curves)	1	2+ 3- 5- 19+ 73+	2+ 3- 5-  0  0  4  0 19+
Curve Equation t Generators 124830bd1 [1,-1,0,-207369,-36170375] 2 [-259:467:1] 124830bd2 [1,-1,0,-109899,-70343357] 2 [957:25984:1]
124830be (2 curves)	1	2+ 3- 5- 19+ 73+	2+ 3- 5-  2  2 -4  2 19+
Curve Equation t Generators 124830be1 [1,-1,0,-28629,-1851147] 2 [-93:69:1] 124830be2 [1,-1,0,-42309,110565] 2 [-99:1872:1]
124830bf (1 curve)	0	2+ 3- 5- 19- 73+	2+ 3- 5- -1 -1  4  2 19-
Curve Equation t 124830bf1 [1,-1,0,-6894,88020] 1
124830bg (2 curves)	0	2+ 3- 5- 19- 73+	2+ 3- 5-  2  2  4 -2 19-
Curve Equation t 124830bg1 [1,-1,0,396,1786320] 2 124830bg2 [1,-1,0,-218484,38689488] 2
124830bh (2 curves)	0	2+ 3- 5- 19- 73+	2+ 3- 5-  2  2  4  4 19-
Curve Equation t 124830bh1 [1,-1,0,-44607339,114683172273] 2 124830bh2 [1,-1,0,-44804169,113620172175] 2
124830bi (2 curves)	0	2+ 3- 5- 19- 73+	2+ 3- 5-  2 -4 -2 -4 19-
Curve Equation t 124830bi1 [1,-1,0,335974356,-2996413188912] 2 124830bi2 [1,-1,0,-2212065324,-30134564604720] 2
124830bj (3 curves)	1	2+ 3- 5- 19- 73-	2+ 3- 5- -1  3 -4  6 19-
Curve Equation t Generators 124830bj1 [1,-1,0,-92072529,-340027328547] 1 [-270253573880094:135664683699259:48787170264] 124830bj2 [1,-1,0,-95505489,-313301624355] 3 [-6491:185199:1] 124830bj3 [1,-1,0,-1964460249,33473895909093] 3 [-31246432139:32723995045119:4826809]
124830bk (2 curves)	0	2- 3+ 5+ 19+ 73+	2- 3+ 5+  2 -6  4  2 19+
Curve Equation t 124830bk1 [1,-1,1,-1288793,-1163288519] 2 124830bk2 [1,-1,1,-26241113,-51696726983] 2
124830bl (2 curves)	0	2- 3+ 5+ 19+ 73+	2- 3+ 5+  4  0  2 -2 19+
Curve Equation t 124830bl1 [1,-1,1,-259148,49418047] 2 124830bl2 [1,-1,1,78352,168758047] 2
124830bm (2 curves)	0	2- 3+ 5+ 19+ 73+	2- 3+ 5+ -4 -2  4  0 19+
Curve Equation t 124830bm1 [1,-1,1,-14325128,-18682588213] 2 124830bm2 [1,-1,1,-55251848,138279568331] 2
124830bn (2 curves)	0	2- 3+ 5+ 19+ 73+	2- 3+ 5+ -4  6  4  0 19+
Curve Equation t 124830bn1 [1,-1,1,-10688,423967] 2 124830bn2 [1,-1,1,-170558,27154231] 2
124830bo (1 curve)	1	2- 3+ 5+ 19- 73+	2- 3+ 5+  3  0  3 -6 19-
Curve Equation t Generators 124830bo1 [1,-1,1,-1178,13017] 1 [65:423:1]
124830bp (1 curve)	0	2- 3+ 5+ 19- 73-	2- 3+ 5+  1  6 -5  4 19-
Curve Equation t 124830bp1 [1,-1,1,-4579688,-3516211133] 1
124830bq (4 curves)	0	2- 3+ 5+ 19- 73-	2- 3+ 5+  2  0  2  6 19-
Curve Equation t 124830bq1 [1,-1,1,-462158,121045277] 6 124830bq2 [1,-1,1,-465158,119396477] 6 124830bq3 [1,-1,1,-562898,64517581] 2 124830bq4 [1,-1,1,-4781648,-3978732419] 2
124830br (2 curves)	1	2- 3+ 5- 19+ 73+	2- 3+ 5-  0 -4 -2  0 19+
Curve Equation t Generators 124830br1 [1,-1,1,-122837,-20367059] 2 [799:19376:1] 124830br2 [1,-1,1,-2088917,-1161479891] 2 [-833:656:1]
124830bs (1 curve)	1	2- 3+ 5- 19+ 73+	2- 3+ 5- -1  0 -2 -4 19+
Curve Equation t Generators 124830bs1 [1,-1,1,538,-34451] 1 [187:2471:1]
124830bt (1 curve)	1	2- 3+ 5- 19+ 73+	2- 3+ 5- -1  2  7  0 19+
Curve Equation t Generators 124830bt1 [1,-1,1,-67502,-6732611] 1 [-151:83:1]
124830bu (2 curves)	2	2- 3+ 5- 19+ 73-	2- 3+ 5-  0 -4 -6 -8 19+
Curve Equation t Generators 124830bu1 [1,-1,1,-1862,66261] 2 [-49:219:1]&[21:-201:1] 124830bu2 [1,-1,1,-38342,2897109] 2 [-193:1851:1]&[-163:2271:1]
124830bv (1 curve)	2	2- 3+ 5- 19- 73+	2- 3+ 5- -1 -4 -5  2 19-
Curve Equation t Generators 124830bv1 [1,-1,1,-197,1109] 1 [-11:48:1]&[54:29:8]
124830bw (2 curves)	2	2- 3+ 5- 19- 73+	2- 3+ 5- -4 -4 -2 -4 19-
Curve Equation t Generators 124830bw1 [1,-1,1,171613,106860899] 2 [-293:5746:1]&[-243:7246:1] 124830bw2 [1,-1,1,-2600867,1494209891] 2 [53517:-1760522:27]&[-1629:38314:1]
124830bx (2 curves)	1	2- 3+ 5- 19- 73-	2- 3+ 5- -2  0 -2  2 19-
Curve Equation t Generators 124830bx1 [1,-1,1,-12887,-547089] 2 [-69:134:1] 124830bx2 [1,-1,1,-204887,-35644689] 2 [-261:134:1]
124830by (2 curves)	1	2- 3- 5+ 19+ 73+	2- 3- 5+  2 -2  0  0 19+
Curve Equation t Generators 124830by1 [1,-1,1,-72203738,-153188330983] 2 [-2787:163843:1] 124830by2 [1,-1,1,-471440858,3826087891481] 2 [15645:520927:1]
124830bz (2 curves)	1	2- 3- 5+ 19+ 73+	2- 3- 5+ -4 -2  4  6 19+
Curve Equation t Generators 124830bz1 [1,-1,1,652,-22633] 2 [25:81:1] 124830bz2 [1,-1,1,-9068,-302569] 2 [-65:127:1]
124830ca (2 curves)	1	2- 3- 5+ 19+ 73+	2- 3- 5+ -4  4  0  6 19+
Curve Equation t Generators 124830ca1 [1,-1,1,-6503,70287] 2 [-27:488:1] 124830ca2 [1,-1,1,24277,525831] 2 [135:2432:1]
124830cb (4 curves)	2	2- 3- 5+ 19+ 73-	2- 3- 5+  0 -4 -6 -2 19+
Curve Equation t Generators 124830cb1 [1,-1,1,-428,62511] 2 [-27:245:1]&[-19:261:1] 124830cb2 [1,-1,1,-26348,1638447] 4 [-127:1773:1]&[-7:1353:1] 124830cb3 [1,-1,1,-46868,-1250769] 2 [255:1697:1]&[-1026:13503:8] 124830cb4 [1,-1,1,-420548,105076527] 2 [375:-177:1]&[431:1719:1]
124830cc (1 curve)	0	2- 3- 5+ 19+ 73-	2- 3- 5+  3  5  0 -2 19+
Curve Equation t 124830cc1 [1,-1,1,-4163,-101469] 1
124830cd (4 curves)	2	2- 3- 5+ 19+ 73-	2- 3- 5+ -4 -4  2 -2 19+
Curve Equation t Generators 124830cd1 [1,-1,1,-20273,1110881] 2 [-155:792:1]&[-105:1492:1] 124830cd2 [1,-1,1,-31793,-285343] 4 [-159:934:1]&[-155:1026:1] 124830cd3 [1,-1,1,125887,-2366719] 2 [61:2322:1]&[175:4912:1] 124830cd4 [1,-1,1,-373793,-87700543] 2 [-359:534:1]&[-347:538:1]
124830ce (1 curve)	0	2- 3- 5+ 19- 73+	2- 3- 5+  1  2  3  2 19-
Curve Equation t 124830ce1 [1,-1,1,-3623333,-1966106019] 1
124830cf (1 curve)	2	2- 3- 5+ 19- 73+	2- 3- 5+  1 -4 -3 -8 19-
Curve Equation t Generators 124830cf1 [1,-1,1,-77283724028,-8268174622208833] 1 [-350524551:2241503785:2197]&[-158859:243589:1]
124830cg (1 curve)	0	2- 3- 5+ 19- 73+	2- 3- 5+  1  5  6 -3 19-
Curve Equation t 124830cg1 [1,-1,1,-25313,-9538383] 1
124830ch (2 curves)	2	2- 3- 5+ 19- 73+	2- 3- 5+ -2 -2  0 -6 19-
Curve Equation t Generators 124830ch1 [1,-1,1,-6728,65931] 2 [125:-1143:1]&[-75:417:1] 124830ch2 [1,-1,1,-61448,-5800053] 2 [-147:273:1]&[-135:213:1]
124830ci (2 curves)	2	2- 3- 5+ 19- 73+	2- 3- 5+ -2 -4 -6 -2 19-
Curve Equation t Generators 124830ci1 [1,-1,1,-272048,54445331] 2 [-597:2251:1]&[435:-4493:1] 124830ci2 [1,-1,1,-128048,111814931] 2 [-555:3697:1]&[243:-9869:1]
124830cj (2 curves)	2	2- 3- 5+ 19- 73+	2- 3- 5+ -4 -4  2  2 19-
Curve Equation t Generators 124830cj1 [1,-1,1,-3443,94547] 2 [-45:418:1]&[27:-158:1] 124830cj2 [1,-1,1,-58163,5413331] 2 [-165:3322:1]&[-135:3352:1]
124830ck (1 curve)	0	2- 3- 5- 19+ 73+	2- 3- 5-  1  3  2  5 19+
Curve Equation t 124830ck1 [1,-1,1,-24099512,-45820443589] 1
124830cl (1 curve)	2	2- 3- 5- 19+ 73+	2- 3- 5- -3  0 -5 -4 19+
Curve Equation t Generators 124830cl1 [1,-1,1,-8537,219449] 1 [87:-404:1]&[-81:652:1]
124830cm (1 curve)	0	2- 3- 5- 19+ 73+	2- 3- 5- -3  2 -7  2 19+
Curve Equation t 124830cm1 [1,-1,1,-15773617697,762444016995921] 1
124830cn (4 curves)	1	2- 3- 5- 19+ 73-	2- 3- 5- -4  4 -2  2 19+
Curve Equation t Generators 124830cn1 [1,-1,1,-576257,168421889] 4 [-803:11026:1] 124830cn2 [1,-1,1,-688757,98086889] 4 [-821:10882:1] 124830cn3 [1,-1,1,2431993,738464789] 2 [-1876358:186712561:10648] 124830cn4 [1,-1,1,-5609507,-5045081011] 2 [1191062345946:-179298041797663:52313624]
124830co (2 curves)	1	2- 3- 5- 19- 73+	2- 3- 5-  0  2  2  0 19-
Curve Equation t Generators 124830co1 [1,-1,1,-1967,26291] 2 [111:1024:1] 124830co2 [1,-1,1,4603,160319] 2 [222:4331:8]
124830cp (1 curve)	1	2- 3- 5- 19- 73+	2- 3- 5-  1  0  1  0 19-
Curve Equation t Generators 124830cp1 [1,-1,1,-707,-871] 1 [1182:13499:8]
124830cq (1 curve)	1	2- 3- 5- 19- 73+	2- 3- 5-  1  2 -6  2 19-
Curve Equation t Generators 124830cq1 [1,-1,1,-25844792,51174017691] 1 [311:-207921:1]
124830cr (2 curves)	1	2- 3- 5- 19- 73+	2- 3- 5-  2 -2 -4 -2 19-
Curve Equation t Generators 124830cr1 [1,-1,1,-10607,377831] 2 [-39:874:1] 124830cr2 [1,-1,1,-41387,-2835601] 2 [-93:496:1]
124830cs (2 curves)	1	2- 3- 5- 19- 73+	2- 3- 5-  2 -4 -2  2 19-
Curve Equation t Generators 124830cs1 [1,-1,1,-6422,-189979] 2 [-51:79:1] 124830cs2 [1,-1,1,2578,-686779] 2 [99:679:1]
124830ct (2 curves)	1	2- 3- 5- 19- 73+	2- 3- 5- -2  2  0  2 19-
Curve Equation t Generators 124830ct1 [1,-1,1,-10376136932,406643873599239] 2 [-104803:18571701:1] 124830ct2 [1,-1,1,-12158928212,257357210511111] 2 [-106969:18329109:1]
124830cu (2 curves)	1	2- 3- 5- 19- 73+	2- 3- 5- -2  2  4  0 19-
Curve Equation t Generators 124830cu1 [1,-1,1,-77299367,-261563896609] 2 [-5069:3294:1] 124830cu2 [1,-1,1,-78699047,-251598734881] 2 [-5433:127546:1]
124830cv (4 curves)	0	2- 3- 5- 19- 73-	2- 3- 5-  0  4 -2  6 19-
Curve Equation t 124830cv1 [1,-1,1,12298,188021] 4 124830cv2 [1,-1,1,-52682,1591589] 4 124830cv3 [1,-1,1,-468212,-122070139] 2 124830cv4 [1,-1,1,-676832,214301909] 2
124830cw (1 curve)	0	2- 3- 5- 19- 73-	2- 3- 5-  1  3 -2 -1 19-
Curve Equation t 124830cw1 [1,-1,1,13,-309] 1
124830cx (1 curve)	0	2- 3- 5- 19- 73-	2- 3- 5-  3  3  2  3 19-
Curve Equation t 124830cx1 [1,-1,1,-3287,91981] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations