Cremona's table of elliptic curves

117648 = 2⁴ · 3² · 19 · 43

Class	r	Atkin-Lehner	Eigenvalues
117648a (2 curves)	1	2+ 3- 19+ 43-	2+ 3-  0  0  2 -2  2 19+
Curve Equation t Generators 117648a1 [0,0,0,-2076015,-551595058] 2 [-150128258:-521562222:117649] 117648a2 [0,0,0,-16387275,25154290154] 2 [-4637:37926:1]
117648b (1 curve)	1	2+ 3- 19+ 43-	2+ 3-  0 -2 -3  1 -5 19+
Curve Equation t Generators 117648b1 [0,0,0,6540,-50564] 1 [9:95:1]
117648c (4 curves)	1	2+ 3- 19+ 43-	2+ 3-  2 -4 -4  2 -2 19+
Curve Equation t Generators 117648c1 [0,0,0,-2559,-49538] 2 [69:320:1] 117648c2 [0,0,0,-4179,20770] 4 [-13:270:1] 117648c3 [0,0,0,16341,164410] 2 [33:860:1] 117648c4 [0,0,0,-50619,4376842] 2 [159:590:1]
117648d (2 curves)	1	2+ 3- 19+ 43-	2+ 3-  4  4  0  0 -6 19+
Curve Equation t Generators 117648d1 [0,0,0,-511203,-136738190] 2 [-430:1890:1] 117648d2 [0,0,0,154437,-467561270] 2 [168130:5827626:125]
117648e (2 curves)	1	2+ 3- 19+ 43-	2+ 3- -4 -4  0  2  6 19+
Curve Equation t Generators 117648e1 [0,0,0,-1722,-71665] 2 [2119:97524:1] 117648e2 [0,0,0,-38487,-2902570] 2 [135844:6230763:64]
117648f (4 curves)	1	2+ 3- 19- 43+	2+ 3-  2  0  4 -2 -2 19-
Curve Equation t Generators 117648f1 [0,0,0,-5034,186235] 2 [3332310675:-17081239504:76765625] 117648f2 [0,0,0,-88239,10087630] 4 [46214:275400:343] 117648f3 [0,0,0,-95979,8213002] 2 [566:11628:1] 117648f4 [0,0,0,-1411779,645651538] 2 [539:6426:1]
117648g (2 curves)	1	2+ 3- 19- 43+	2+ 3-  2  2  4  4 -2 19-
Curve Equation t Generators 117648g1 [0,0,0,-3099,58138] 2 [9:176:1] 117648g2 [0,0,0,-12819,-499790] 2 [-414:1265:8]
117648h (2 curves)	2	2+ 3- 19- 43-	2+ 3-  0 -2 -4  0 -6 19-
Curve Equation t Generators 117648h1 [0,0,0,-2235,-39238] 2 [-31:16:1]&[-26:36:1] 117648h2 [0,0,0,1005,-143566] 2 [103:-1026:1]&[190:2628:1]
117648i (1 curve)	0	2+ 3- 19- 43-	2+ 3-  2  1  0  2 -3 19-
Curve Equation t 117648i1 [0,0,0,-34419,-2494942] 1
117648j (1 curve)	0	2+ 3- 19- 43-	2+ 3-  2  1  6  5 -3 19-
Curve Equation t 117648j1 [0,0,0,861,-5182] 1
117648k (1 curve)	0	2+ 3- 19- 43-	2+ 3-  4  2 -3  5  3 19-
Curve Equation t 117648k1 [0,0,0,-4068,99900] 1
117648l (1 curve)	0	2- 3+ 19+ 43+	2- 3+  1  2  0 -2  6 19+
Curve Equation t 117648l1 [0,0,0,-2592,52272] 1
117648m (1 curve)	0	2- 3+ 19+ 43+	2- 3+ -1  2  0 -2 -6 19+
Curve Equation t 117648m1 [0,0,0,-288,-1936] 1
117648n (1 curve)	1	2- 3+ 19- 43+	2- 3+  1 -2 -4 -6  6 19-
Curve Equation t Generators 117648n1 [0,0,0,14992128,20871069552] 1 [1617:222129:1]
117648o (1 curve)	1	2- 3+ 19- 43+	2- 3+ -1 -2  4 -6 -6 19-
Curve Equation t Generators 117648o1 [0,0,0,1665792,-773002576] 1 [1057:46569:1]
117648p (2 curves)	1	2- 3+ 19- 43+	2- 3+  2  4 -2  0  0 19-
Curve Equation t Generators 117648p1 [0,0,0,-35259,2548202] 2 [-19:1792:1] 117648p2 [0,0,0,-37179,2255210] 2 [-22:1750:1]
117648q (2 curves)	1	2- 3+ 19- 43+	2- 3+ -2  4  2  0  0 19-
Curve Equation t Generators 117648q1 [0,0,0,-317331,-68801454] 2 [1119899:21456064:1331] 117648q2 [0,0,0,-334611,-60890670] 2 [2953:157168:1]
117648r (2 curves)	0	2- 3+ 19- 43-	2- 3+  2  0  0 -2  0 19-
Curve Equation t 117648r1 [0,0,0,-55539,-4797198] 2 117648r2 [0,0,0,37341,-19230750] 2
117648s (2 curves)	0	2- 3+ 19- 43-	2- 3+  2  0  0 -6  0 19-
Curve Equation t 117648s1 [0,0,0,-7344,243243] 2 117648s2 [0,0,0,-117639,15530130] 2
117648t (2 curves)	0	2- 3+ 19- 43-	2- 3+  2  0 -6  0  0 19-
Curve Equation t 117648t1 [0,0,0,-34080939,-76578717222] 2 117648t2 [0,0,0,-545292459,-4901086316070] 2
117648u (2 curves)	2	2- 3+ 19- 43-	2- 3+ -2  0  0 -2  0 19-
Curve Equation t Generators 117648u1 [0,0,0,-6171,177674] 2 [-49:602:1]&[10:342:1] 117648u2 [0,0,0,4149,712250] 2 [-25:770:1]&[-17:798:1]
117648v (2 curves)	0	2- 3+ 19- 43-	2- 3+ -2  0  0 -6  0 19-
Curve Equation t 117648v1 [0,0,0,-816,-9009] 2 117648v2 [0,0,0,-13071,-575190] 2
117648w (2 curves)	0	2- 3+ 19- 43-	2- 3+ -2  0  6  0  0 19-
Curve Equation t 117648w1 [0,0,0,-3786771,2836248786] 2 117648w2 [0,0,0,-60588051,181521715410] 2
117648x (4 curves)	1	2- 3- 19+ 43+	2- 3-  0  4  0  2  6 19+
Curve Equation t Generators 117648x1 [0,0,0,-864075,308538362] 2 [-166733:8497152:343] 117648x2 [0,0,0,-553035,533669114] 2 [1030:32508:1] 117648x3 [0,0,0,-3942075,-2738410774] 2 [7351500592040:760782443297877:663054848] 117648x4 [0,0,0,4905285,-13279155478] 2 [2817796:591956001:64]
117648y (1 curve)	1	2- 3- 19+ 43+	2- 3- -1 -4  2  6  4 19+
Curve Equation t Generators 117648y1 [0,0,0,-273648,-61360144] 1 [1585:59049:1]
117648z (1 curve)	1	2- 3- 19+ 43+	2- 3-  2 -1  0 -2 -3 19+
Curve Equation t Generators 117648z1 [0,0,0,1221,9578] 1 [79:774:1]
117648ba (2 curves)	1	2- 3- 19+ 43+	2- 3-  2  2  0  4  6 19+
Curve Equation t Generators 117648ba1 [0,0,0,-12819,-220462] 2 [-71:576:1] 117648ba2 [0,0,0,-168339,-26565550] 2 [-233:90:1]
117648bb (1 curve)	1	2- 3- 19+ 43+	2- 3-  2 -4  3  1  3 19+
Curve Equation t Generators 117648bb1 [0,0,0,-2397504,1428979952] 1 [-79:40223:1]
117648bc (2 curves)	1	2- 3- 19+ 43+	2- 3- -2  0  0 -6  2 19+
Curve Equation t Generators 117648bc1 [0,0,0,384,-385] 2 [1828:11781:64] 117648bc2 [0,0,0,-1551,-3094] 2 [-14:126:1]
117648bd (1 curve)	1	2- 3- 19+ 43+	2- 3- -2 -1  0  4  5 19+
Curve Equation t Generators 117648bd1 [0,0,0,-10345071,-12807336134] 1 [13432845252198572931311374139245776326020981666586:7919039380365727526155289921078656767276804046008246:38647526680780947301991464277527685118123421]
117648be (1 curve)	1	2- 3- 19+ 43+	2- 3- -2 -1 -4 -4 -7 19+
Curve Equation t Generators 117648be1 [0,0,0,-1191,-102814] 1 [70:396:1]
117648bf (2 curves)	1	2- 3- 19+ 43+	2- 3- -2  2  0 -2  2 19+
Curve Equation t Generators 117648bf1 [0,0,0,-138171,-19760150] 2 [-214:90:1] 117648bf2 [0,0,0,-115131,-26566166] 2 [1322:46170:1]
117648bg (2 curves)	1	2- 3- 19+ 43+	2- 3-  4  0  0  0  2 19+
Curve Equation t Generators 117648bg1 [0,0,0,-19319043,7380764930] 2 [446109320692701559967645:-85361207254477442621898752:12015361708418180125] 117648bg2 [0,0,0,75052797,58247186690] 2 [-2594366482045:2025966636840960:10232446211]
117648bh (2 curves)	3	2- 3- 19+ 43+	2- 3- -4 -4 -4 -6 -2 19+
Curve Equation t Generators 117648bh1 [0,0,0,-2307,42050] 2 [34:-54:1]&[-47:216:1]&[-25:290:1] 117648bh2 [0,0,0,-147,117650] 2 [-47:144:1]&[-41:234:1]&[-31:304:1]
117648bi (1 curve)	0	2- 3- 19+ 43-	2- 3-  0 -1  0  6 -1 19+
Curve Equation t 117648bi1 [0,0,0,260925,12180674] 1
117648bj (4 curves)	0	2- 3- 19+ 43-	2- 3- -2  4  4 -6 -2 19+
Curve Equation t 117648bj1 [0,0,0,-25131,-1463974] 2 117648bj2 [0,0,0,-71211,5438810] 4 117648bj3 [0,0,0,176469,34912730] 2 117648bj4 [0,0,0,-1056171,417743066] 2
117648bk (2 curves)	0	2- 3- 19+ 43-	2- 3-  4  2 -4  4  2 19+
Curve Equation t 117648bk1 [0,0,0,-21963,1252730] 2 117648bk2 [0,0,0,-20523,1424090] 2
117648bl (2 curves)	2	2- 3- 19+ 43-	2- 3- -4  0 -6  6 -6 19+
Curve Equation t Generators 117648bl1 [0,0,0,-22107,810250] 2 [-163:288:1]&[-22:1134:1] 117648bl2 [0,0,0,-145947,-20861750] 2 [-249:202:1]&[-193:342:1]
117648bm (2 curves)	0	2- 3- 19+ 43-	2- 3- -4  2  4  0 -6 19+
Curve Equation t 117648bm1 [0,0,0,-663627,3318010] 2 117648bm2 [0,0,0,2654133,26542330] 2
117648bn (2 curves)	2	2- 3- 19- 43+	2- 3-  0  0  0 -2 -2 19-
Curve Equation t Generators 117648bn1 [0,0,0,-1875,-12782] 2 [-39:32:1]&[-34:108:1] 117648bn2 [0,0,0,6765,-97454] 2 [15:86:1]&[57:-688:1]
117648bo (2 curves)	2	2- 3- 19- 43+	2- 3-  0  0 -6  2  2 19-
Curve Equation t Generators 117648bo1 [0,0,0,-2235,-30422] 2 [-33:86:1]&[-22:90:1] 117648bo2 [0,0,0,-33195,-2327654] 2 [-105:14:1]&[335:4914:1]
117648bp (1 curve)	0	2- 3- 19- 43+	2- 3-  0  2 -5 -7  7 19-
Curve Equation t 117648bp1 [0,0,0,3120,4008112] 1
117648bq (1 curve)	0	2- 3- 19- 43+	2- 3-  0 -3  0 -2  7 19-
Curve Equation t 117648bq1 [0,0,0,5696205,5338564594] 1
117648br (1 curve)	0	2- 3- 19- 43+	2- 3-  0 -3  4 -6  3 19-
Curve Equation t 117648br1 [0,0,0,1758885,-1300004854] 1
117648bs (2 curves)	0	2- 3- 19- 43+	2- 3-  0 -4  4  2 -2 19-
Curve Equation t 117648bs1 [0,0,0,-4531755,3713194906] 2 117648bs2 [0,0,0,-4529595,3716911402] 2
117648bt (1 curve)	0	2- 3- 19- 43+	2- 3-  0  5  0  6  3 19-
Curve Equation t 117648bt1 [0,0,0,-1155,16706] 1
117648bu (1 curve)	0	2- 3- 19- 43+	2- 3-  0  5  4  2  7 19-
Curve Equation t 117648bu1 [0,0,0,53863845,58214194378] 1
117648bv (1 curve)	0	2- 3- 19- 43+	2- 3-  2  1 -2 -3 -3 19-
Curve Equation t 117648bv1 [0,0,0,-23619,3147842] 1
117648bw (2 curves)	0	2- 3- 19- 43+	2- 3-  2 -2  0 -4  6 19-
Curve Equation t 117648bw1 [0,0,0,-908139,-332377958] 2 117648bw2 [0,0,0,-1258059,-52651910] 2
117648bx (2 curves)	0	2- 3- 19- 43+	2- 3-  2 -2  4  6 -6 19-
Curve Equation t 117648bx1 [0,0,0,-1256979,-542425390] 2 117648bx2 [0,0,0,-1251219,-547642798] 2
117648by (1 curve)	0	2- 3- 19- 43+	2- 3-  2  4 -5 -3  3 19-
Curve Equation t 117648by1 [0,0,0,96,10352] 1
117648bz (1 curve)	0	2- 3- 19- 43+	2- 3-  3  0  6  2 -4 19-
Curve Equation t 117648bz1 [0,0,0,-11625456,-54383993552] 1
117648ca (1 curve)	0	2- 3- 19- 43+	2- 3- -3 -4 -2  2 -8 19-
Curve Equation t 117648ca1 [0,0,0,-151824,-22825424] 1
117648cb (2 curves)	1	2- 3- 19- 43-	2- 3-  0  2  4  4  2 19-
Curve Equation t Generators 117648cb1 [0,0,0,-198435,34023202] 2 [263:-162:1] 117648cb2 [0,0,0,-196995,34541314] 2 [215:-1458:1]
117648cc (1 curve)	1	2- 3- 19- 43-	2- 3-  0 -2  5  1 -1 19-
Curve Equation t Generators 117648cc1 [0,0,0,-517080,-143361956] 1 [1190:30438:1]
117648cd (1 curve)	1	2- 3- 19- 43-	2- 3- -2 -3  0  0 -3 19-
Curve Equation t Generators 117648cd1 [0,0,0,9,594] 1 [-6:18:1]
117648ce (1 curve)	1	2- 3- 19- 43-	2- 3- -2 -3 -4  2 -3 19-
Curve Equation t Generators 117648ce1 [0,0,0,-39891,3073426] 1 [71:774:1]
117648cf (1 curve)	1	2- 3- 19- 43-	2- 3- -2 -3  6 -3 -3 19-
Curve Equation t Generators 117648cf1 [0,0,0,433348749,-374061184974] 1 [2004793:526757482:343]
117648cg (1 curve)	1	2- 3- 19- 43-	2- 3-  3 -4 -2 -2 -4 19-
Curve Equation t Generators 117648cg1 [0,0,0,24,-1028] 1 [38:234:1]

Data from Elliptic Curve Data by J. E. Cremona.
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