Cremona's table of elliptic curves

87616 = 2⁶ · 37²

Class	r	Atkin-Lehner	Eigenvalues
87616a (2 curves)	1	2+ 37+	2+  0  1  2  2 -2 -3 -6
Curve Equation t Generators 87616a1 [0,0,0,148,-592] 1 [4:8:1] 87616a2 [0,0,0,-106412,-13360848] 1 [42090484:1714717096:24389]
87616b (2 curves)	1	2+ 37+	2+  0 -1  2  2  2  3  6
Curve Equation t Generators 87616b1 [0,0,0,202612,-29986576] 1 [16428:481888:27] 87616b2 [0,0,0,-145678028,-676767033744] 1 [115209709491378540:-25022053972096523936:2289008334339]
87616c (2 curves)	1	2+ 37+	2+  0  2  4  0  2 -2  2
Curve Equation t Generators 87616c1 [0,0,0,-15059,1013060] 2 [8190551054862:292362005585125:6372783864] 87616c2 [0,0,0,-268324,53489568] 2 [3748581:267490279:729]
87616d (2 curves)	1	2+ 37+	2+  0  2 -4  0  2 -2 -2
Curve Equation t Generators 87616d1 [0,0,0,-15059,-1013060] 2 [18286172414903055594:191450713581657323045:88607972177883432] 87616d2 [0,0,0,-268324,-53489568] 2 [6742927101:139762870597:8120601]
87616e (1 curve)	1	2+ 37+	2+  1  0 -3  3  0 -2 -2
Curve Equation t Generators 87616e1 [0,1,0,-182533,29895715] 1 [-127974:2331407:343]
87616f (1 curve)	1	2+ 37+	2+  1 -2  1 -1 -6  4 -8
Curve Equation t Generators 87616f1 [0,1,0,-51109,4005187] 1 [-1014:23273:8]
87616g (1 curve)	1	2+ 37+	2+  1  3  3  0  3  1 -5
Curve Equation t Generators 87616g1 [0,1,0,-49,-137] 1 [-4554:2021:1331]
87616h (1 curve)	1	2+ 37+	2+  1 -3  3  0 -3 -1  5
Curve Equation t Generators 87616h1 [0,1,0,-67537,-6130889] 1 [-7273712019618:18400269340097:64144108027]
87616i (1 curve)	1	2+ 37+	2+  1 -4 -3 -5  0  6  2
Curve Equation t Generators 87616i1 [0,1,0,-29205,-309901] 1 [-1230:26011:27]
87616j (3 curves)	1	2+ 37+	2+ -1  0 -1 -3 -4 -6  2
Curve Equation t Generators 87616j1 [0,-1,0,-18253,947855] 1 [-86:1369:1] 87616j2 [0,-1,0,-127773,-16980569] 1 [-24070:83509:125] 87616j3 [0,-1,0,-10258373,-12642949961] 1 [-37824618214610:4816548593:20458415375]
87616k (2 curves)	1	2+ 37+	2+  2  3 -4  6  2 -3  2
Curve Equation t Generators 87616k1 [0,-1,0,-3009,64961] 1 [35:36:1] 87616k2 [0,-1,0,8831,337281] 1 [-1545:59436:125]
87616l (2 curves)	1	2+ 37+	2+  2 -3 -4  6 -2  3 -2
Curve Equation t Generators 87616l1 [0,-1,0,-4119777,3241034081] 1 [26337:330236:27] 87616l2 [0,-1,0,12089183,17229366561] 1 [116908669723785:-51653175815028068:599077107]
87616m (1 curve)	1	2+ 37+	2+ -2  1  0 -2  6  3 -2
Curve Equation t Generators 87616m1 [0,1,0,-1825,-74433] 1 [61:212:1]
87616n (1 curve)	1	2+ 37+	2+ -2 -1  0 -2 -6 -3  2
Curve Equation t Generators 87616n1 [0,1,0,-2498881,-3740270049] 1 [17325:2270124:1]
87616o (1 curve)	1	2+ 37+	2+  3 -2 -1  5 -2  0  0
Curve Equation t Generators 87616o1 [0,0,0,-5476,101306] 1 [14097:318977:27]
87616p (1 curve)	1	2+ 37+	2+  3 -4 -1 -3  2 -8 -2
Curve Equation t Generators 87616p1 [0,0,0,-79402,8611010] 1 [34854:1369:216]
87616q (1 curve)	1	2+ 37+	2+ -3 -4  1  3  2 -8  2
Curve Equation t Generators 87616q1 [0,0,0,-79402,-8611010] 1 [333:1369:1]
87616r (2 curves)	0	2+ 37-	2+ -1  2  3 -3  6  2 -6
Curve Equation t 87616r1 [0,-1,0,-67537,-5114077] 1 87616r2 [0,-1,0,-14250377,20710342027] 1
87616s (2 curves)	2	2+ 37-	2+ -1 -2  3 -3 -6 -2  6
Curve Equation t Generators 87616s1 [0,-1,0,-49,-85] 1 [-2:1:1]&[62:481:1] 87616s2 [0,-1,0,-10409,412243] 1 [-114:323:1]&[62:37:1]
87616t (1 curve)	0	2+ 37-	2+  3  0  3 -3  6  6  0
Curve Equation t 87616t1 [0,0,0,-506530,138687914] 1
87616u (1 curve)	0	2+ 37-	2+  3  0  3 -3 -6 -6  0
Curve Equation t 87616u1 [0,0,0,-370,2738] 1
87616v (1 curve)	0	2+ 37-	2+ -3  0 -3  3  6  6  0
Curve Equation t 87616v1 [0,0,0,-506530,-138687914] 1
87616w (1 curve)	2	2+ 37-	2+ -3  0 -3  3 -6 -6  0
Curve Equation t Generators 87616w1 [0,0,0,-370,-2738] 1 [-11:1:1]&[37:185:1]
87616x (2 curves)	2	2- 37+	2-  0  1 -2 -2 -2 -3  6
Curve Equation t Generators 87616x1 [0,0,0,148,592] 1 [-3:11:1]&[12:64:1] 87616x2 [0,0,0,-106412,13360848] 1 [48:2892:1]&[188:8:1]
87616y (2 curves)	2	2- 37+	2-  0 -1 -2 -2  2  3 -6
Curve Equation t Generators 87616y1 [0,0,0,202612,29986576] 1 [0:5476:1]&[119500:41309976:1] 87616y2 [0,0,0,-145678028,676767033744] 1 [6845:17797:1]&[188148:1072:27]
87616z (4 curves)	0	2- 37+	2-  0 -2  0  0  6 -2  0
Curve Equation t 87616z1 [0,0,0,1369,0] 2 87616z2 [0,0,0,-5476,0] 4 87616z3 [0,0,0,-60236,-5673136] 2 87616z4 [0,0,0,-60236,5673136] 2
87616ba (1 curve)	0	2- 37+	2-  1  0  1 -1 -2  4  6
Curve Equation t 87616ba1 [0,1,0,-4563,2231] 1
87616bb (3 curves)	0	2- 37+	2-  1  0  1  3 -4 -6 -2
Curve Equation t 87616bb1 [0,1,0,-18253,-947855] 1 87616bb2 [0,1,0,-127773,16980569] 1 87616bb3 [0,1,0,-10258373,12642949961] 1
87616bc (1 curve)	2	2- 37+	2- -1  0 -1  1 -2  4 -6
Curve Equation t Generators 87616bc1 [0,-1,0,-4563,-2231] 1 [136:1369:1]&[-1608:6317:27]
87616bd (1 curve)	0	2- 37+	2- -1  0  3 -3  0 -2  2
Curve Equation t 87616bd1 [0,-1,0,-182533,-29895715] 1
87616be (1 curve)	0	2- 37+	2- -1 -2 -1  1 -6  4  8
Curve Equation t 87616be1 [0,-1,0,-51109,-4005187] 1
87616bf (1 curve)	0	2- 37+	2- -1  3 -3  0  3  1  5
Curve Equation t 87616bf1 [0,-1,0,-49,137] 1
87616bg (1 curve)	0	2- 37+	2- -1 -3 -3  0 -3 -1 -5
Curve Equation t 87616bg1 [0,-1,0,-67537,6130889] 1
87616bh (1 curve)	0	2- 37+	2- -1 -4  3  5  0  6 -2
Curve Equation t 87616bh1 [0,-1,0,-29205,309901] 1
87616bi (1 curve)	0	2- 37+	2-  2  1  0  2  6  3  2
Curve Equation t 87616bi1 [0,-1,0,-1825,74433] 1
87616bj (1 curve)	0	2- 37+	2-  2 -1  0  2 -6 -3 -2
Curve Equation t 87616bj1 [0,-1,0,-2498881,3740270049] 1
87616bk (1 curve)	0	2- 37+	2-  2  3  2 -4  2  7  0
Curve Equation t 87616bk1 [0,-1,0,-16884,1116242] 1
87616bl (1 curve)	2	2- 37+	2-  2 -3  2 -4 -2 -7  0
Curve Equation t Generators 87616bl1 [0,-1,0,-12,26] 1 [-1:6:1]&[10:27:8]
87616bm (1 curve)	0	2- 37+	2- -2  3 -2  4  2  7  0
Curve Equation t 87616bm1 [0,1,0,-16884,-1116242] 1
87616bn (2 curves)	0	2- 37+	2- -2  3  4 -6  2 -3 -2
Curve Equation t 87616bn1 [0,1,0,-3009,-64961] 1 87616bn2 [0,1,0,8831,-337281] 1
87616bo (1 curve)	2	2- 37+	2- -2 -3 -2  4 -2 -7  0
Curve Equation t Generators 87616bo1 [0,1,0,-12,-26] 1 [5:8:1]&[9:26:1]
87616bp (2 curves)	0	2- 37+	2- -2 -3  4 -6 -2  3  2
Curve Equation t 87616bp1 [0,1,0,-4119777,-3241034081] 1 87616bp2 [0,1,0,12089183,-17229366561] 1
87616bq (1 curve)	0	2- 37+	2-  3  4  3 -3  6  4  6
Curve Equation t 87616bq1 [0,0,0,-358678,-82564390] 1
87616br (1 curve)	2	2- 37+	2- -3 -2  1 -5 -2  0  0
Curve Equation t Generators 87616br1 [0,0,0,-5476,-101306] 1 [-41:233:1]&[999:31487:1]
87616bs (1 curve)	0	2- 37+	2- -3  4 -3  3  6  4 -6
Curve Equation t 87616bs1 [0,0,0,-358678,82564390] 1
87616bt (2 curves)	1	2- 37-	2-  0  4  0  0 -4 -8  0
Curve Equation t Generators 87616bt1 [0,0,0,37,0] 2 [684030:3540799:27000] 87616bt2 [0,0,0,-148,0] 2 [2775:27935:27]
87616bu (2 curves)	1	2- 37-	2-  0 -4  0  0  4  8  0
Curve Equation t Generators 87616bu1 [0,0,0,50653,0] 2 [1659554576117834479416894:-39444737013953626146467581:14846679577882157522616] 87616bu2 [0,0,0,-202612,0] 2 [-497995505172:-10530197587932:1784770597]
87616bv (2 curves)	1	2- 37-	2-  1  2 -3  3  6  2  6
Curve Equation t Generators 87616bv1 [0,1,0,-67537,5114077] 1 [9776891916:113310710347:32461759] 87616bv2 [0,1,0,-14250377,-20710342027] 1 [27060980578711331781447989417730061700516:-1074014575477996479823228898664884705816173:5270038823730683262549944331733469743]
87616bw (2 curves)	1	2- 37-	2-  1 -2 -3  3 -6 -2 -6
Curve Equation t Generators 87616bw1 [0,1,0,-49,85] 1 [12:37:1] 87616bw2 [0,1,0,-10409,-412243] 1 [308:5069:1]

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

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