Cremona's table of elliptic curves

97216 = 2⁶ · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
97216a (1 curve)	1	2+ 7+ 31+	2+ -1 -4 7+ -4  1  4 -4
Curve Equation t Generators 97216a1 [0,-1,0,-47105,3978241] 1 [33:1568:1]
97216b (1 curve)	1	2+ 7+ 31+	2+ -3  0 7+ -4 -1 -4  0
Curve Equation t Generators 97216b1 [0,0,0,980,14896] 1 [-10:64:1]
97216c (2 curves)	0	2+ 7- 31+	2+  0  0 7-  0  4 -4 -8
Curve Equation t 97216c1 [0,0,0,322420,32538352] 2 97216c2 [0,0,0,-1433740,273483504] 2
97216d (2 curves)	0	2+ 7- 31+	2+  0  2 7- -2 -4  0 -4
Curve Equation t 97216d1 [0,0,0,-2445884,6302062480] 2 97216d2 [0,0,0,-68329324,216786476592] 2
97216e (2 curves)	2	2+ 7- 31+	2+  0 -2 7- -4 -2 -2  2
Curve Equation t Generators 97216e1 [0,0,0,-17836,-806736] 2 [-66:288:1]&[190:1632:1] 97216e2 [0,0,0,-72716,6722800] 2 [-300:1240:1]&[-147:3773:1]
97216f (1 curve)	0	2+ 7- 31+	2+  0 -3 7- -2 -4  0  1
Curve Equation t 97216f1 [0,0,0,196,2744] 1
97216g (1 curve)	0	2+ 7- 31+	2+  1  1 7-  0  0  2  6
Curve Equation t 97216g1 [0,1,0,-7905,-412609] 1
97216h (3 curves)	0	2+ 7- 31+	2+  1  3 7-  0 -4  6  2
Curve Equation t 97216h1 [0,1,0,-12609,-2872801] 1 97216h2 [0,1,0,112831,75025439] 1 97216h3 [0,1,0,-10580929,13250709919] 1
97216i (1 curve)	0	2+ 7- 31+	2+ -1  1 7- -2 -6  2 -6
Curve Equation t 97216i1 [0,-1,0,-47105,-10312511] 1
97216j (1 curve)	0	2+ 7- 31+	2+ -1 -1 7-  2  6 -2 -6
Curve Equation t 97216j1 [0,-1,0,-961,-29791] 1
97216k (2 curves)	2	2+ 7- 31+	2+ -2 -2 7- -4 -2  0  0
Curve Equation t Generators 97216k1 [0,1,0,1111,-38249] 2 [25:76:1]&[51:392:1] 97216k2 [0,1,0,-12609,-491009] 2 [-78:155:1]&[-75:196:1]
97216l (2 curves)	0	2+ 7- 31+	2+ -2 -3 7-  6  2 -6 -1
Curve Equation t 97216l1 [0,1,0,-457,-4929] 1 97216l2 [0,1,0,3463,47599] 1
97216m (1 curve)	0	2+ 7- 31+	2+ -3  3 7- -6 -2  2 -2
Curve Equation t 97216m1 [0,0,0,-1036,-13328] 1
97216n (2 curves)	1	2+ 7- 31-	2+  0  0 7-  0 -4  4  8
Curve Equation t Generators 97216n1 [0,0,0,6580,-94864] 2 [130:1023:8] 97216n2 [0,0,0,-29260,-797328] 2 [-152:372:1]
97216o (2 curves)	1	2+ 7- 31-	2+  0  0 7-  2 -2 -2 -6
Curve Equation t Generators 97216o1 [0,0,0,-22540,839664] 2 [133:441:1] 97216o2 [0,0,0,-147980,-21287952] 2 [3717:225351:1]
97216p (1 curve)	1	2+ 7- 31-	2+  0  1 7- -6 -4  0 -5
Curve Equation t Generators 97216p1 [0,0,0,-3332,74088] 1 [29:43:1]
97216q (2 curves)	1	2+ 7- 31-	2+  0  2 7- -4  2  2 -2
Curve Equation t Generators 97216q1 [0,0,0,-364,2352] 2 [21:63:1] 97216q2 [0,0,0,-1484,-19600] 2 [53:225:1]
97216r (2 curves)	1	2+ 7- 31-	2+  0  2 7-  6  0 -4 -4
Curve Equation t Generators 97216r1 [0,0,0,196,82320] 2 [546:5145:8] 97216r2 [0,0,0,-27244,1695792] 2 [56:588:1]
97216s (4 curves)	1	2+ 7- 31-	2+  0 -2 7-  0  2  6  4
Curve Equation t Generators 97216s1 [0,0,0,-2156,-192080] 2 [1442:18375:8] 97216s2 [0,0,0,-64876,-6338640] 4 [-147:147:1] 97216s3 [0,0,0,-96236,422576] 2 [-250:2976:1] 97216s4 [0,0,0,-1037036,-406479696] 2 [1176:588:1]
97216t (1 curve)	1	2+ 7- 31-	2+  1  1 7-  2 -6  2  6
Curve Equation t Generators 97216t1 [0,1,0,-47105,10312511] 1 [65:2744:1]
97216u (1 curve)	1	2+ 7- 31-	2+  1  1 7- -4  4 -2 -2
Curve Equation t Generators 97216u1 [0,1,0,-65,-88033] 1 [1209:784:27]
97216v (1 curve)	1	2+ 7- 31-	2+  1 -1 7- -2  6 -2  6
Curve Equation t Generators 97216v1 [0,1,0,-961,29791] 1 [93:868:1]
97216w (1 curve)	1	2+ 7- 31-	2+  1  4 7- -4 -1 -4  4
Curve Equation t Generators 97216w1 [0,1,0,-961,-11873] 1 [13455:133664:125]
97216x (1 curve)	1	2+ 7- 31-	2+ -1  1 7-  0  0  2 -6
Curve Equation t Generators 97216x1 [0,-1,0,-7905,412609] 1 [61:392:1]
97216y (2 curves)	1	2+ 7- 31-	2+  2  2 7-  6  4 -2 -4
Curve Equation t Generators 97216y1 [0,-1,0,-100417,-13053375] 2 [7837099877484075:81511703582065280:18607518329499] 97216y2 [0,-1,0,-1637057,-805652287] 2 [655969897:13618865568:389017]
97216z (2 curves)	1	2+ 7- 31-	2+  2 -2 7-  4 -2  0  0
Curve Equation t Generators 97216z1 [0,-1,0,1111,38249] 2 [49:456:1] 97216z2 [0,-1,0,-12609,491009] 2 [2352:5795:27]
97216ba (1 curve)	1	2+ 7- 31-	2+ -2  1 7-  2 -2  6  1
Curve Equation t Generators 97216ba1 [0,1,0,-65,-2969] 1 [6230:15987:343]
97216bb (2 curves)	1	2+ 7- 31-	2+ -2  2 7- -2  4 -6  4
Curve Equation t Generators 97216bb1 [0,1,0,1503,7615] 2 [11:160:1] 97216bb2 [0,1,0,-6337,56223] 2 [-53:496:1]
97216bc (2 curves)	1	2+ 7- 31-	2+ -2 -2 7-  2 -4  2 -8
Curve Equation t Generators 97216bc1 [0,1,0,65791,-8276129] 2 [205:3724:1] 97216bc2 [0,1,0,-435969,-83841185] 2 [-277:3968:1]
97216bd (1 curve)	1	2+ 7- 31-	2+  3  0 7- -4  1  4  0
Curve Equation t Generators 97216bd1 [0,0,0,48020,-5109328] 1 [19030175262:1013282787392:6751269]
97216be (1 curve)	1	2+ 7- 31-	2+  3 -3 7- -6  2 -2  2
Curve Equation t Generators 97216be1 [0,0,0,-50764,4571504] 1 [-6468:46648:27]
97216bf (1 curve)	1	2+ 7- 31-	2+ -3 -3 7- -4  4 -2  6
Curve Equation t Generators 97216bf1 [0,0,0,-7412524,7767786544] 1 [1526:3136:1]
97216bg (1 curve)	1	2- 7+ 31-	2-  1 -4 7+  4  1  4  4
Curve Equation t Generators 97216bg1 [0,1,0,-47105,-3978241] 1 [6954525:95644576:19683]
97216bh (1 curve)	1	2- 7+ 31-	2-  3  0 7+  4 -1 -4  0
Curve Equation t Generators 97216bh1 [0,0,0,980,-14896] 1 [462:2240:27]
97216bi (2 curves)	1	2- 7- 31+	2-  0  0 7-  0 -4  4 -8
Curve Equation t Generators 97216bi1 [0,0,0,6580,94864] 2 [0:308:1] 97216bi2 [0,0,0,-29260,797328] 2 [512:10956:1]
97216bj (2 curves)	1	2- 7- 31+	2-  0  0 7- -2 -2 -2  6
Curve Equation t Generators 97216bj1 [0,0,0,-22540,-839664] 2 [-430:3723:8] 97216bj2 [0,0,0,-147980,21287952] 2 [-91:5831:1]
97216bk (1 curve)	1	2- 7- 31+	2-  0  1 7-  6 -4  0  5
Curve Equation t Generators 97216bk1 [0,0,0,-3332,-74088] 1 [349751032746515:2533249869429889:3662946598375]
97216bl (2 curves)	1	2- 7- 31+	2-  0  2 7-  4  2  2  2
Curve Equation t Generators 97216bl1 [0,0,0,-364,-2352] 2 [-62:15:8] 97216bl2 [0,0,0,-1484,19600] 2 [-3:155:1]
97216bm (2 curves)	1	2- 7- 31+	2-  0  2 7- -6  0 -4  4
Curve Equation t Generators 97216bm1 [0,0,0,196,-82320] 2 [242:3760:1] 97216bm2 [0,0,0,-27244,-1695792] 2 [33680:405516:125]
97216bn (4 curves)	1	2- 7- 31+	2-  0 -2 7-  0  2  6 -4
Curve Equation t Generators 97216bn1 [0,0,0,-2156,192080] 2 [28:392:1] 97216bn2 [0,0,0,-64876,6338640] 4 [156:120:1] 97216bn3 [0,0,0,-96236,-422576] 2 [-294:1568:1] 97216bn4 [0,0,0,-1037036,406479696] 2 [26754:1482495:8]
97216bo (2 curves)	1	2- 7- 31+	2-  0  4 7-  6 -2  2  2
Curve Equation t Generators 97216bo1 [0,0,0,-14308,-658560] 2 [730:19440:1] 97216bo2 [0,0,0,-16268,-466480] 2 [-35:245:1]
97216bp (1 curve)	1	2- 7- 31+	2- -1  1 7-  4  4 -2  2
Curve Equation t Generators 97216bp1 [0,-1,0,-65,88033] 1 [-37:196:1]
97216bq (1 curve)	1	2- 7- 31+	2- -1  4 7-  4 -1 -4 -4
Curve Equation t Generators 97216bq1 [0,-1,0,-961,11873] 1 [37:160:1]
97216br (1 curve)	1	2- 7- 31+	2-  2  1 7- -2 -2  6 -1
Curve Equation t Generators 97216br1 [0,-1,0,-65,2969] 1 [-106400:13383:6859]
97216bs (2 curves)	1	2- 7- 31+	2-  2  2 7-  2  4 -6 -4
Curve Equation t Generators 97216bs1 [0,-1,0,1503,-7615] 2 [1157:39360:1] 97216bs2 [0,-1,0,-6337,-56223] 2 [-72:147:1]
97216bt (2 curves)	1	2- 7- 31+	2-  2  2 7- -2  4  6  0
Curve Equation t Generators 97216bt1 [0,-1,0,-4377,-307495] 2 [215:2940:1] 97216bt2 [0,-1,0,-100417,-12197247] 2 [9921:16660:27]
97216bu (2 curves)	1	2- 7- 31+	2-  2 -2 7- -2 -4  2  8
Curve Equation t Generators 97216bu1 [0,-1,0,65791,8276129] 2 [61854:1535219:216] 97216bu2 [0,-1,0,-435969,83841185] 2 [-37:9996:1]
97216bv (2 curves)	1	2- 7- 31+	2- -2  2 7- -6  4 -2  4
Curve Equation t Generators 97216bv1 [0,1,0,-100417,13053375] 2 [143:1280:1] 97216bv2 [0,1,0,-1637057,805652287] 2 [709:1372:1]
97216bw (1 curve)	1	2- 7- 31+	2-  3 -3 7-  4  4 -2 -6
Curve Equation t Generators 97216bw1 [0,0,0,-7412524,-7767786544] 1 [129422720511481654320:14517755901886895838964:9812576617986969]
97216bx (1 curve)	1	2- 7- 31+	2- -3  0 7-  4  1  4  0
Curve Equation t Generators 97216bx1 [0,0,0,48020,5109328] 1 [506:12608:1]
97216by (1 curve)	1	2- 7- 31+	2- -3 -3 7-  6  2 -2 -2
Curve Equation t Generators 97216by1 [0,0,0,-50764,-4571504] 1 [2450:120736:1]
97216bz (2 curves)	0	2- 7- 31-	2-  0  0 7-  0  4 -4  8
Curve Equation t 97216bz1 [0,0,0,322420,-32538352] 2 97216bz2 [0,0,0,-1433740,-273483504] 2
97216ca (2 curves)	0	2- 7- 31-	2-  0  2 7-  2 -4  0  4
Curve Equation t 97216ca1 [0,0,0,-2445884,-6302062480] 2 97216ca2 [0,0,0,-68329324,-216786476592] 2
97216cb (2 curves)	0	2- 7- 31-	2-  0 -2 7-  4 -2 -2 -2
Curve Equation t 97216cb1 [0,0,0,-17836,806736] 2 97216cb2 [0,0,0,-72716,-6722800] 2
97216cc (1 curve)	0	2- 7- 31-	2-  0 -3 7-  2 -4  0 -1
Curve Equation t 97216cc1 [0,0,0,196,-2744] 1
97216cd (2 curves)	0	2- 7- 31-	2-  0  4 7- -6 -2  2 -2
Curve Equation t 97216cd1 [0,0,0,-14308,658560] 2 97216cd2 [0,0,0,-16268,466480] 2
97216ce (3 curves)	0	2- 7- 31-	2- -1  3 7-  0 -4  6 -2
Curve Equation t 97216ce1 [0,-1,0,-12609,2872801] 1 97216ce2 [0,-1,0,112831,-75025439] 1 97216ce3 [0,-1,0,-10580929,-13250709919] 1
97216cf (2 curves)	0	2- 7- 31-	2-  2 -3 7- -6  2 -6  1
Curve Equation t 97216cf1 [0,-1,0,-457,4929] 1 97216cf2 [0,-1,0,3463,-47599] 1
97216cg (2 curves)	0	2- 7- 31-	2- -2  2 7-  2  4  6  0
Curve Equation t 97216cg1 [0,1,0,-4377,307495] 2 97216cg2 [0,1,0,-100417,12197247] 2
97216ch (1 curve)	0	2- 7- 31-	2-  3  3 7-  6 -2  2  2
Curve Equation t 97216ch1 [0,0,0,-1036,13328] 1

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