Cremona's table of elliptic curves

30150 = 2 · 3² · 5² · 67

Class	r	Atkin-Lehner	Eigenvalues
30150a (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  2  0  0  0  4
Curve Equation t Generators 30150a1 [1,-1,0,-12192,-383284] 2 [259:3583:1] 30150a2 [1,-1,0,-180942,-29577034] 2 [509:2908:1]
30150b (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  2  0  4 -4  4
Curve Equation t Generators 30150b1 [1,-1,0,-596067,177192341] 2 [6062:98219:8] 30150b2 [1,-1,0,-704067,108612341] 2 [7060:360079:64]
30150c (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  2 -4 -4  0 -4
Curve Equation t Generators 30150c1 [1,-1,0,-2817,57341] 2 [49:-212:1] 30150c2 [1,-1,0,-5817,-83659] 2 [-17:109:1]
30150d (4 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+ -2  0  4  0 -4
Curve Equation t Generators 30150d1 [1,-1,0,-789942,158009716] 2 [779:3473:1] 30150d2 [1,-1,0,-5589942,-4973190284] 2 [64779:16443748:1] 30150d3 [1,-1,0,-28125942,-57399278284] 2 [1716145879:90532157173:226981] 30150d4 [1,-1,0,-450000942,-3674133653284] 2 [118570922434776521:-28777345644953363373:1788746241619]
30150e (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  4  0 -5  0  8
Curve Equation t Generators 30150e1 [1,-1,0,-402,-2324] 1 [-7:14:1] 30150e2 [1,-1,0,-30552,-2047834] 1 [-6937897:3482084:68921]
30150f (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  4  3 -5 -6 -1
Curve Equation t Generators 30150f1 [1,-1,0,-7027617,-7195715459] 1 [2177247023607965038390633886425:-18400451080180739542369008736709:704414851899670519810007021] 30150f2 [1,-1,0,-569827617,-5235420115459] 1 [35530746554209658762840653299044874582846395185804518829416352355147909218874881226735957913325:-2542202104910817719016781169995193140007080190586262184447323390668868747527896760029976668491721:1187092679960198675566917039385618956881995580490835264536395358726441973662167161192821649]
30150g (1 curve)	1	2+ 3+ 5+ 67+	2+ 3+ 5+ -4  3  1  2 -5
Curve Equation t Generators 30150g1 [1,-1,0,7383,791] 1 [230:3773:8]
30150h (1 curve)	1	2+ 3+ 5+ 67+	2+ 3+ 5+ -4 -5 -1 -6 -1
Curve Equation t Generators 30150h1 [1,-1,0,-2067,36701] 1 [25:-26:1]
30150i (1 curve)	0	2+ 3+ 5+ 67-	2+ 3+ 5+  1  2  0 -6  4
Curve Equation t 30150i1 [1,-1,0,-5442,-153784] 1
30150j (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+ -2  6  4 -2  4
Curve Equation t 30150j1 [1,-1,0,-1527567,-1264688659] 2 30150j2 [1,-1,0,-29175567,-60624944659] 2
30150k (1 curve)	0	2+ 3+ 5+ 67-	2+ 3+ 5+  4  0  1  4  4
Curve Equation t 30150k1 [1,-1,0,-1392,20096] 1
30150l (1 curve)	0	2+ 3+ 5- 67+	2+ 3+ 5- -4  0 -1  4  4
Curve Equation t 30150l1 [1,-1,0,-3867,-90459] 1
30150m (1 curve)	1	2+ 3+ 5- 67-	2+ 3+ 5-  4 -3 -1  2 -5
Curve Equation t Generators 30150m1 [1,-1,0,33,-9] 1 [3:9:1]
30150n (1 curve)	1	2+ 3+ 5- 67-	2+ 3+ 5-  4  5  1 -6 -1
Curve Equation t Generators 30150n1 [1,-1,0,-5742,-166084] 1 [319:5353:1]
30150o (2 curves)	1	2+ 3+ 5- 67-	2+ 3+ 5- -4  0  5  0  8
Curve Equation t Generators 30150o1 [1,-1,0,-84867,9537291] 3 [-117:4284:1] 30150o2 [1,-1,0,-90492,8205416] 1 [-305:2866:1]
30150p (2 curves)	1	2+ 3+ 5- 67-	2+ 3+ 5- -4 -3  5 -6 -1
Curve Equation t Generators 30150p1 [1,-1,0,-2532567,1551910941] 3 [-1551:42573:1] 30150p2 [1,-1,0,-2529942,1555286516] 1 [1063:7609:1]
30150q (4 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  0 -4 -2  6 -4
Curve Equation t 30150q1 [1,-1,0,28458,1072116] 2 30150q2 [1,-1,0,-133542,9334116] 4 30150q3 [1,-1,0,-1038042,-400404384] 2 30150q4 [1,-1,0,-1821042,945896616] 2
30150r (3 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  1  0  4 -6  2
Curve Equation t 30150r1 [1,-1,0,-32517,-2368859] 1 30150r2 [1,-1,0,180108,-3431984] 1 30150r3 [1,-1,0,-2307267,1478365141] 1
30150s (2 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  1 -3  4  0  2
Curve Equation t 30150s1 [1,-1,0,558,-20534] 1 30150s2 [1,-1,0,-5067,581341] 1
30150t (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+ -1  5  2 -6  2
Curve Equation t 30150t1 [1,-1,0,-117942,30576716] 1
30150u (1 curve)	2	2+ 3- 5+ 67+	2+ 3- 5+ -2  0 -2 -1 -5
Curve Equation t Generators 30150u1 [1,-1,0,2403,40581] 1 [-15:39:1]&[10:251:1]
30150v (2 curves)	2	2+ 3- 5+ 67+	2+ 3- 5+ -2  0 -2 -4 -8
Curve Equation t Generators 30150v1 [1,-1,0,-1692,-13284] 2 [-30:114:1]&[-21:123:1] 30150v2 [1,-1,0,-12942,560466] 2 [-111:843:1]&[-11:843:1]
30150w (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+  3  5 -2  6  2
Curve Equation t 30150w1 [1,-1,0,-63240192,-342343286784] 1
30150x (2 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  4  6  4 -3 -7
Curve Equation t 30150x1 [1,-1,0,-28242,-2553584] 1 30150x2 [1,-1,0,224883,34149541] 1
30150y (4 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  0 -4  2  2 -4
Curve Equation t Generators 30150y1 [1,-1,0,-2142,10516] 2 [-36:218:1] 30150y2 [1,-1,0,-20142,-1087484] 4 [-81:128:1] 30150y3 [1,-1,0,-6642,-2531984] 2 [203:2009:1] 30150y4 [1,-1,0,-321642,-70130984] 2 [665:2786:1]
30150z (2 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  2  4  0  2 -4
Curve Equation t Generators 30150z1 [1,-1,0,-61317,4136341] 2 [-1658:23329:8] 30150z2 [1,-1,0,163683,27311341] 2 [-378:35489:8]
30150ba (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+  3  0  4  2 -2
Curve Equation t Generators 30150ba1 [1,-1,0,-567,37341] 1 [30:201:1]
30150bb (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+ -4  2  1 -4 -2
Curve Equation t Generators 30150bb1 [1,-1,0,-3987,-95819] 1 [-37:23:1]
30150bc (4 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+ -4 -4 -2  2  4
Curve Equation t Generators 30150bc1 [1,-1,0,-17248167,27574111741] 2 [2009:31058:1] 30150bc2 [1,-1,0,-18400167,23681503741] 4 [38883:330871:27] 30150bc3 [1,-1,0,41899833,146392003741] 2 [-3986852670425:102916528289794:1408694561] 30150bc4 [1,-1,0,-97132167,-348169732259] 2 [11393:148973:1]
30150bd (2 curves)	1	2+ 3- 5- 67+	2+ 3- 5-  0  0 -2 -2  0
Curve Equation t Generators 30150bd1 [1,-1,0,-1557,27301] 2 [14:-97:1] 30150bd2 [1,-1,0,-25857,1606801] 2 [89:-112:1]
30150be (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5-  2  4 -3  2 -2
Curve Equation t Generators 30150be1 [1,-1,0,-1242,4666] 1 [-31:128:1]
30150bf (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5- -3 -1  0  4  4
Curve Equation t Generators 30150bf1 [1,-1,0,153,661] 1 [-1:23:1]
30150bg (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5-  0  1  7 -8  1
Curve Equation t 30150bg1 [1,-1,0,-94392,42039616] 1
30150bh (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  0  2 -6 -4  4
Curve Equation t 30150bh1 [1,-1,0,-9657,-370899] 2 30150bh2 [1,-1,0,-155457,-23553099] 2
30150bi (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5-  1 -3 -4 -4  8
Curve Equation t 30150bi1 [1,-1,0,288,-367754] 1
30150bj (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5- -2  0 -1  2 -2
Curve Equation t 30150bj1 [1,-1,0,-12942,-375084] 1
30150bk (1 curve)	2	2+ 3- 5- 67-	2+ 3- 5- -2 -4 -2 -3 -1
Curve Equation t Generators 30150bk1 [1,-1,0,-7242,244916] 1 [244:3478:1]&[44:-122:1]
30150bl (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5- -3 -3 -4  4  0
Curve Equation t 30150bl1 [1,-1,0,-23562,-1416204] 1
30150bm (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  4 -6  2  8 -4
Curve Equation t 30150bm1 [1,-1,0,2133,1425541] 2 30150bm2 [1,-1,0,-177867,28245541] 2
30150bn (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  0  0  0  4
Curve Equation t 30150bn1 [1,-1,1,-1355,14647] 2 30150bn2 [1,-1,1,-20105,1102147] 2
30150bo (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  0  4  4  4
Curve Equation t 30150bo1 [1,-1,1,-66230,-6540603] 2 30150bo2 [1,-1,1,-78230,-3996603] 2
30150bp (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  4 -4  0 -4
Curve Equation t 30150bp1 [1,-1,1,-25355,-1522853] 2 30150bp2 [1,-1,1,-52355,2311147] 2
30150bq (4 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+ -2  0  4  0 -4
Curve Equation t 30150bq1 [1,-1,1,-3125105,2126940897] 2 30150bq2 [1,-1,1,-50000105,136095690897] 2 30150bq3 [1,-1,1,-7109480,-4259152853] 2 30150bq4 [1,-1,1,-50309480,134326447147] 2
30150br (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  4  0 -5  0  8
Curve Equation t 30150br1 [1,-1,1,-3395,76977] 1 30150br2 [1,-1,1,-3620,66367] 1
30150bs (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  4 -3 -5  6 -1
Curve Equation t 30150bs1 [1,-1,1,-63314180,193925553447] 1 30150bs2 [1,-1,1,-63248555,194347565947] 1
30150bt (1 curve)	0	2- 3+ 5+ 67+	2- 3+ 5+ -4 -3  1 -2 -5
Curve Equation t 30150bt1 [1,-1,1,820,-303] 1
30150bu (1 curve)	0	2- 3+ 5+ 67+	2- 3+ 5+ -4  5 -1  6 -1
Curve Equation t 30150bu1 [1,-1,1,-230,-1283] 1
30150bv (1 curve)	1	2- 3+ 5+ 67-	2- 3+ 5+  1 -2  0  6  4
Curve Equation t Generators 30150bv1 [1,-1,1,-605,5897] 1 [15:-2:1]
30150bw (2 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+ -2 -6  4  2  4
Curve Equation t Generators 30150bw1 [1,-1,1,-169730,46896897] 2 [-255:8703:1] 30150bw2 [1,-1,1,-3241730,2246448897] 2 [-1071:67535:1]
30150bx (1 curve)	1	2- 3+ 5+ 67-	2- 3+ 5+  4  0  1 -4  4
Curve Equation t Generators 30150bx1 [1,-1,1,-155,-693] 1 [-7:6:1]
30150by (1 curve)	1	2- 3+ 5- 67+	2- 3+ 5- -4  0 -1 -4  4
Curve Equation t Generators 30150by1 [1,-1,1,-34805,2477197] 1 [19:1340:1]
30150bz (1 curve)	0	2- 3+ 5- 67-	2- 3+ 5-  4  3 -1 -2 -5
Curve Equation t 30150bz1 [1,-1,1,295,-53] 1
30150ca (1 curve)	0	2- 3+ 5- 67-	2- 3+ 5-  4 -5  1  6 -1
Curve Equation t 30150ca1 [1,-1,1,-51680,4535947] 1
30150cb (2 curves)	0	2- 3+ 5- 67-	2- 3+ 5- -4  0  5  0  8
Curve Equation t 30150cb1 [1,-1,1,-10055,-300553] 3 30150cb2 [1,-1,1,-763805,-256743053] 1
30150cc (2 curves)	0	2- 3+ 5- 67-	2- 3+ 5- -4  3  5  6 -1
Curve Equation t 30150cc1 [1,-1,1,-281105,-57509503] 3 30150cc2 [1,-1,1,-22793105,-41878802303] 1
30150cd (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  0  1 -7  8  1
Curve Equation t Generators 30150cd1 [1,-1,1,-2359805,5252592197] 1 [1455:69256:1]
30150ce (2 curves)	1	2- 3- 5+ 67+	2- 3- 5+  0 -2  2 -4  4
Curve Equation t Generators 30150ce1 [1,-1,1,1120,-10753] 2 [342:2525:8] 30150ce2 [1,-1,1,-5630,-91753] 2 [662:165:8]
30150cf (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+ -1  3  4  4 -2
Curve Equation t Generators 30150cf1 [1,-1,1,9895,2115897] 1 [359:7020:1]
30150cg (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  2  0  1 -2 -2
Curve Equation t Generators 30150cg1 [1,-1,1,-323555,-47209053] 1 [-445:3138:1]
30150ch (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  2 -4  2  3 -1
Curve Equation t Generators 30150ch1 [1,-1,1,-290,2017] 1 [13:-25:1]
30150ci (4 curves)	1	2- 3- 5+ 67+	2- 3- 5+ -2  0 -2  0  8
Curve Equation t Generators 30150ci1 [1,-1,1,-200480,-29633853] 2 [-291:2145:1] 30150ci2 [1,-1,1,-3080480,-2080193853] 2 [-1011:705:1] 30150ci3 [1,-1,1,-4304480,3435006147] 2 [-21:59385:1] 30150ci4 [1,-1,1,-5429480,1500006147] 2 [-201:50925:1]
30150cj (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  5  3 -6 -6 -2
Curve Equation t Generators 30150cj1 [1,-1,1,-2855,-60353] 1 [79:410:1]
30150ck (1 curve)	0	2- 3- 5+ 67-	2- 3- 5+  1  1  6 -2 -2
Curve Equation t 30150ck1 [1,-1,1,-18005,-7618003] 1
30150cl (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+  2  4  2  0 -8
Curve Equation t 30150cl1 [1,-1,1,-734855,-238996353] 2 30150cl2 [1,-1,1,-1454855,306763647] 2
30150cm (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+ -2  4  0  6  4
Curve Equation t 30150cm1 [1,-1,1,-8330,-290203] 2 30150cm2 [1,-1,1,-6080,-452203] 2
30150cn (1 curve)	0	2- 3- 5+ 67-	2- 3- 5+ -2  4  3 -2 -2
Curve Equation t 30150cn1 [1,-1,1,-50,47] 1
30150co (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+  4  0  4 -4  4
Curve Equation t 30150co1 [1,-1,1,-6980,178647] 2 30150co2 [1,-1,1,15520,1078647] 2
30150cp (2 curves)	2	2- 3- 5+ 67-	2- 3- 5+ -4 -2 -6 -4 -4
Curve Equation t Generators 30150cp1 [1,-1,1,-113630,15461997] 2 [185:-957:1]&[-301:4875:1] 30150cp2 [1,-1,1,-1841630,962405997] 2 [779:-165:1]&[833:-2829:1]
30150cq (2 curves)	0	2- 3- 5- 67+	2- 3- 5-  0  2  6  4  4
Curve Equation t 30150cq1 [1,-1,1,-241430,-46603803] 2 30150cq2 [1,-1,1,-3886430,-2948023803] 2
30150cr (1 curve)	0	2- 3- 5- 67+	2- 3- 5- -1 -3  4  4  8
Curve Equation t 30150cr1 [1,-1,1,7195,-45962053] 1
30150cs (1 curve)	0	2- 3- 5- 67+	2- 3- 5-  3 -3  4 -4  0
Curve Equation t 30150cs1 [1,-1,1,-589055,-177614553] 1
30150ct (1 curve)	0	2- 3- 5- 67+	2- 3- 5-  4  2 -1  4 -2
Curve Equation t 30150ct1 [1,-1,1,-99680,-12077053] 1
30150cu (2 curves)	2	2- 3- 5- 67+	2- 3- 5- -4 -6 -2 -8 -4
Curve Equation t Generators 30150cu1 [1,-1,1,85,11387] 2 [3:-110:1]&[-15:88:1] 30150cu2 [1,-1,1,-7115,227387] 2 [63:-194:1]&[-51:700:1]
30150cv (2 curves)	1	2- 3- 5- 67-	2- 3- 5-  0  0  2  2  0
Curve Equation t Generators 30150cv1 [1,-1,1,-38930,3373697] 2 [19:1615:1] 30150cv2 [1,-1,1,-646430,200203697] 2 [505:1281:1]
30150cw (1 curve)	1	2- 3- 5- 67-	2- 3- 5-  2  0  2  1 -5
Curve Equation t Generators 30150cw1 [1,-1,1,60070,5132697] 1 [-31:1815:1]
30150cx (1 curve)	1	2- 3- 5- 67-	2- 3- 5-  3 -1  0 -4  4
Curve Equation t Generators 30150cx1 [1,-1,1,3820,86447] 1 [219:3265:1]
30150cy (2 curves)	1	2- 3- 5- 67-	2- 3- 5- -4  6 -4  3 -7
Curve Equation t Generators 30150cy1 [1,-1,1,-1130,-20203] 1 [534:3293:8] 30150cy2 [1,-1,1,8995,271397] 3 [-21:280:1]

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