Cremona's table of elliptic curves

23616 = 2⁶ · 3² · 41

Class	r	Atkin-Lehner	Eigenvalues
23616a (1 curve)	1	2+ 3+ 41+	2+ 3+ -1 -4 -4  5  1  3
Curve Equation t Generators 23616a1 [0,0,0,4212,67824] 1 [222:3456:1]
23616b (1 curve)	1	2+ 3+ 41+	2+ 3+ -3  4  0  3  5 -3
Curve Equation t Generators 23616b1 [0,0,0,-3564,83376] 1 [24:108:1]
23616c (1 curve)	0	2+ 3+ 41-	2+ 3+  1 -4  4  5 -1  3
Curve Equation t 23616c1 [0,0,0,468,-2512] 1
23616d (1 curve)	0	2+ 3+ 41-	2+ 3+  3  4  0  3 -5 -3
Curve Equation t 23616d1 [0,0,0,-396,-3088] 1
23616e (1 curve)	0	2+ 3- 41+	2+ 3-  0 -2 -1  2  1  4
Curve Equation t 23616e1 [0,0,0,-480,-4448] 1
23616f (2 curves)	0	2+ 3- 41+	2+ 3-  1 -2  2  1  7 -5
Curve Equation t 23616f1 [0,0,0,-100812,384755312] 1 23616f2 [0,0,0,-333812172,2347477112432] 1
23616g (1 curve)	0	2+ 3- 41+	2+ 3- -1 -2  2  3  3 -7
Curve Equation t 23616g1 [0,0,0,6612,-368336] 1
23616h (2 curves)	0	2+ 3- 41+	2+ 3-  2 -2  2 -6  6  2
Curve Equation t 23616h1 [0,0,0,-444,-3440] 2 23616h2 [0,0,0,276,-13520] 2
23616i (1 curve)	0	2+ 3- 41+	2+ 3-  2  4  5  0  3  2
Curve Equation t 23616i1 [0,0,0,-20784,1153312] 1
23616j (1 curve)	0	2+ 3- 41+	2+ 3- -2  0  1 -4  7 -2
Curve Equation t 23616j1 [0,0,0,-13296,-900704] 1
23616k (4 curves)	0	2+ 3- 41+	2+ 3- -2  4 -4 -2 -2  4
Curve Equation t 23616k1 [0,0,0,-5196,-134800] 2 23616k2 [0,0,0,-16716,671600] 4 23616k3 [0,0,0,35124,4010096] 2 23616k4 [0,0,0,-252876,48942704] 2
23616l (1 curve)	0	2+ 3- 41+	2+ 3-  3 -2  2 -1 -5  1
Curve Equation t 23616l1 [0,0,0,-23916,1462192] 1
23616m (2 curves)	0	2+ 3- 41+	2+ 3- -4 -2 -3  6 -3  0
Curve Equation t 23616m1 [0,0,0,-372,-2950] 1 23616m2 [0,0,0,708,193610] 1
23616n (1 curve)	1	2+ 3- 41-	2+ 3-  0 -2 -3  6  7  0
Curve Equation t Generators 23616n1 [0,0,0,240,-5344] 1 [169:2205:1]
23616o (1 curve)	1	2+ 3- 41-	2+ 3-  1  2  2  7 -7 -7
Curve Equation t Generators 23616o1 [0,0,0,-155532,23615728] 1 [158:1728:1]
23616p (2 curves)	1	2+ 3- 41-	2+ 3-  2  2  4  0 -6  0
Curve Equation t Generators 23616p1 [0,0,0,-4404,-112480] 2 [9830:20736:125] 23616p2 [0,0,0,-4044,-131632] 2 [226:3240:1]
23616q (2 curves)	1	2+ 3- 41-	2+ 3-  2 -2 -4  0 -6  0
Curve Equation t Generators 23616q1 [0,0,0,-4404,112480] 2 [20:180:1] 23616q2 [0,0,0,-4044,131632] 2 [6:328:1]
23616r (2 curves)	1	2+ 3- 41-	2+ 3- -2  2  4 -4  2  0
Curve Equation t Generators 23616r1 [0,0,0,-261444396,1627110720560] 2 [87601924883198:-171690617946112:9274236301] 23616r2 [0,0,0,-261075756,1631927960624] 2 [8058754:695643392:1331]
23616s (2 curves)	1	2+ 3- 41-	2+ 3- -2  2 -4  4  2  8
Curve Equation t Generators 23616s1 [0,0,0,-38316,-2870480] 2 [90066:5192704:27] 23616s2 [0,0,0,-15276,-6289616] 2 [13334:1539648:1]
23616t (2 curves)	1	2+ 3- 41-	2+ 3- -2 -2  0  4  2 -4
Curve Equation t Generators 23616t1 [0,0,0,-396,2160] 2 [-12:72:1] 23616t2 [0,0,0,1044,14256] 2 [6:144:1]
23616u (2 curves)	1	2+ 3- 41-	2+ 3- -2 -4 -2 -4  2 -6
Curve Equation t Generators 23616u1 [0,0,0,-876,-5200] 2 [-8:36:1] 23616u2 [0,0,0,-6636,204464] 2 [70:288:1]
23616v (1 curve)	1	2+ 3- 41-	2+ 3- -2 -4  5  4  5  2
Curve Equation t Generators 23616v1 [0,0,0,24,106] 1 [-1:9:1]
23616w (1 curve)	1	2+ 3- 41-	2+ 3- -2 -4 -5 -4  5  6
Curve Equation t Generators 23616w1 [0,0,0,384,-149344] 1 [145:1719:1]
23616x (2 curves)	1	2+ 3- 41-	2+ 3-  3  2 -6  1 -3 -5
Curve Equation t Generators 23616x1 [0,0,0,-876,-32848] 1 [88:756:1] 23616x2 [0,0,0,7764,813872] 1 [88:1476:1]
23616y (1 curve)	0	2- 3+ 41+	2- 3+ -1  0  0  1 -3  5
Curve Equation t 23616y1 [0,0,0,81972,-9558864] 1
23616z (1 curve)	0	2- 3+ 41+	2- 3+ -1  0  0  1 -3 -5
Curve Equation t 23616z1 [0,0,0,81972,9558864] 1
23616ba (1 curve)	0	2- 3+ 41+	2- 3+ -1  4  4  5  1 -3
Curve Equation t 23616ba1 [0,0,0,4212,-67824] 1
23616bb (1 curve)	0	2- 3+ 41+	2- 3+  2  0  3 -2  3  4
Curve Equation t 23616bb1 [0,0,0,-54,378] 1
23616bc (1 curve)	0	2- 3+ 41+	2- 3+  2  0 -3 -2  3 -4
Curve Equation t 23616bc1 [0,0,0,-54,-378] 1
23616bd (1 curve)	0	2- 3+ 41+	2- 3+ -3 -4  0  3  5  3
Curve Equation t 23616bd1 [0,0,0,-3564,-83376] 1
23616be (1 curve)	1	2- 3+ 41-	2- 3+  1  0  0  1  3  5
Curve Equation t Generators 23616be1 [0,0,0,9108,354032] 1 [52:984:1]
23616bf (1 curve)	1	2- 3+ 41-	2- 3+  1  0  0  1  3 -5
Curve Equation t Generators 23616bf1 [0,0,0,9108,-354032] 1 [194:2952:1]
23616bg (1 curve)	1	2- 3+ 41-	2- 3+  1  4 -4  5 -1 -3
Curve Equation t Generators 23616bg1 [0,0,0,468,2512] 1 [-4:24:1]
23616bh (1 curve)	1	2- 3+ 41-	2- 3+ -2  0  3 -2 -3 -4
Curve Equation t Generators 23616bh1 [0,0,0,-6,14] 1 [1:3:1]
23616bi (1 curve)	1	2- 3+ 41-	2- 3+ -2  0 -3 -2 -3  4
Curve Equation t Generators 23616bi1 [0,0,0,-6,-14] 1 [5:9:1]
23616bj (1 curve)	1	2- 3+ 41-	2- 3+  3 -4  0  3 -5  3
Curve Equation t Generators 23616bj1 [0,0,0,-396,3088] 1 [2:48:1]
23616bk (1 curve)	1	2- 3- 41+	2- 3-  0  2  1  2  1 -4
Curve Equation t Generators 23616bk1 [0,0,0,-480,4448] 1 [1:63:1]
23616bl (2 curves)	1	2- 3- 41+	2- 3-  1  2 -2  1  7  5
Curve Equation t Generators 23616bl1 [0,0,0,-100812,-384755312] 1 [635233238:56713936896:79507] 23616bl2 [0,0,0,-333812172,-2347477112432] 1 [498294715443562719857659470670:54795307298090243877684134395776:18185076241402904142347375]
23616bm (1 curve)	1	2- 3- 41+	2- 3-  1  2 -2  5 -5 -5
Curve Equation t Generators 23616bm1 [0,0,0,-12,-2608] 1 [16:36:1]
23616bn (1 curve)	1	2- 3- 41+	2- 3-  1 -2  2  5 -5  5
Curve Equation t Generators 23616bn1 [0,0,0,-12,2608] 1 [14:72:1]
23616bo (1 curve)	1	2- 3- 41+	2- 3- -1  2 -2  3  3  7
Curve Equation t Generators 23616bo1 [0,0,0,6612,368336] 1 [316:5832:1]
23616bp (2 curves)	1	2- 3- 41+	2- 3-  2  2 -2 -6  6 -2
Curve Equation t Generators 23616bp1 [0,0,0,-444,3440] 2 [8:20:1] 23616bp2 [0,0,0,276,13520] 2 [80:740:1]
23616bq (1 curve)	1	2- 3- 41+	2- 3-  2 -4 -5  0  3 -2
Curve Equation t Generators 23616bq1 [0,0,0,-20784,-1153312] 1 [13472803:34710003:79507]
23616br (1 curve)	1	2- 3- 41+	2- 3- -2  0 -1 -4  7  2
Curve Equation t Generators 23616br1 [0,0,0,-13296,900704] 1 [-95:1143:1]
23616bs (4 curves)	1	2- 3- 41+	2- 3- -2  4 -4  2 -2 -4
Curve Equation t Generators 23616bs1 [0,0,0,-4071,-186320] 2 [9457603404:-105757137850:59776471] 23616bs2 [0,0,0,-79716,-8658560] 4 [-804066:318136:4913] 23616bs3 [0,0,0,-94476,-5228336] 2 [-246:1768:1] 23616bs4 [0,0,0,-1275276,-554312144] 2 [-7535943503151:-2047133101:11558505581]
23616bt (4 curves)	1	2- 3- 41+	2- 3- -2 -4  4  2 -2  4
Curve Equation t Generators 23616bt1 [0,0,0,-4071,186320] 2 [404:8030:1] 23616bt2 [0,0,0,-79716,8658560] 4 [-203:4059:1] 23616bt3 [0,0,0,-94476,5228336] 2 [-211:3971:1] 23616bt4 [0,0,0,-1275276,554312144] 2 [634:792:1]
23616bu (4 curves)	1	2- 3- 41+	2- 3- -2 -4  4 -2 -2 -4
Curve Equation t Generators 23616bu1 [0,0,0,-5196,134800] 2 [-78:256:1] 23616bu2 [0,0,0,-16716,-671600] 4 [-96:220:1] 23616bu3 [0,0,0,35124,-4010096] 2 [242:4320:1] 23616bu4 [0,0,0,-252876,-48942704] 2 [404545:22717827:125]
23616bv (1 curve)	1	2- 3- 41+	2- 3-  3  2 -2 -1 -5 -1
Curve Equation t Generators 23616bv1 [0,0,0,-23916,-1462192] 1 [652:16128:1]
23616bw (2 curves)	1	2- 3- 41+	2- 3- -4  2  3  6 -3  0
Curve Equation t Generators 23616bw1 [0,0,0,-372,2950] 1 [23:81:1] 23616bw2 [0,0,0,708,-193610] 1 [95:855:1]
23616bx (1 curve)	0	2- 3- 41-	2- 3-  0  2  3  6  7  0
Curve Equation t 23616bx1 [0,0,0,240,5344] 1
23616by (1 curve)	0	2- 3- 41-	2- 3-  1 -2 -2  7 -7  7
Curve Equation t 23616by1 [0,0,0,-155532,-23615728] 1
23616bz (2 curves)	0	2- 3- 41-	2- 3- -2  0  6  4 -6  2
Curve Equation t 23616bz1 [0,0,0,-516,-4480] 2 23616bz2 [0,0,0,-876,2576] 2
23616ca (2 curves)	2	2- 3- 41-	2- 3- -2  0 -6  4 -6 -2
Curve Equation t Generators 23616ca1 [0,0,0,-516,4480] 2 [-22:72:1]&[5:45:1] 23616ca2 [0,0,0,-876,-2576] 2 [-24:68:1]&[-10:72:1]
23616cb (2 curves)	0	2- 3- 41-	2- 3- -2  2  0  4  2  4
Curve Equation t 23616cb1 [0,0,0,-396,-2160] 2 23616cb2 [0,0,0,1044,-14256] 2
23616cc (2 curves)	0	2- 3- 41-	2- 3- -2 -2  4  4  2 -8
Curve Equation t 23616cc1 [0,0,0,-38316,2870480] 2 23616cc2 [0,0,0,-15276,6289616] 2
23616cd (2 curves)	0	2- 3- 41-	2- 3- -2 -2 -4 -4  2  0
Curve Equation t 23616cd1 [0,0,0,-261444396,-1627110720560] 2 23616cd2 [0,0,0,-261075756,-1631927960624] 2
23616ce (2 curves)	0	2- 3- 41-	2- 3- -2  4  2 -4  2  6
Curve Equation t 23616ce1 [0,0,0,-876,5200] 2 23616ce2 [0,0,0,-6636,-204464] 2
23616cf (1 curve)	0	2- 3- 41-	2- 3- -2  4  5 -4  5 -6
Curve Equation t 23616cf1 [0,0,0,384,149344] 1
23616cg (1 curve)	0	2- 3- 41-	2- 3- -2  4 -5  4  5 -2
Curve Equation t 23616cg1 [0,0,0,24,-106] 1
23616ch (2 curves)	0	2- 3- 41-	2- 3-  3 -2  6  1 -3  5
Curve Equation t 23616ch1 [0,0,0,-876,32848] 1 23616ch2 [0,0,0,7764,-813872] 1

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