Cremona's table of elliptic curves

10416 = 2⁴ · 3 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
10416a (2 curves)	1	2+ 3+ 7+ 31+	2+ 3+  0 7+  2 -6  2 -4
Curve Equation t Generators 10416a1 [0,-1,0,-68,-192] 2 [12:24:1] 10416a2 [0,-1,0,-8,-576] 2 [16:56:1]
10416b (4 curves)	0	2+ 3+ 7+ 31-	2+ 3+  2 7+ -4  2 -2 -4
Curve Equation t 10416b1 [0,-1,0,-47,102] 2 10416b2 [0,-1,0,-292,-1760] 4 10416b3 [0,-1,0,-4632,-119808] 2 10416b4 [0,-1,0,128,-6800] 2
10416c (2 curves)	2	2+ 3+ 7+ 31-	2+ 3+ -2 7+  0 -2 -6 -6
Curve Equation t Generators 10416c1 [0,-1,0,-64,208] 2 [-8:12:1]&[-2:18:1] 10416c2 [0,-1,0,56,784] 2 [-6:14:1]&[0:28:1]
10416d (2 curves)	0	2+ 3+ 7- 31+	2+ 3+  0 7- -2 -2 -6 -8
Curve Equation t 10416d1 [0,-1,0,-63,-270] 2 10416d2 [0,-1,0,-1148,-14592] 2
10416e (1 curve)	0	2+ 3+ 7- 31+	2+ 3+ -3 7-  0  3 -4 -6
Curve Equation t 10416e1 [0,-1,0,9263,3547789] 1
10416f (4 curves)	1	2+ 3+ 7- 31-	2+ 3+ -2 7- -4 -2  2  8
Curve Equation t Generators 10416f1 [0,-1,0,-1044,10368] 2 [28:48:1] 10416f2 [0,-1,0,-15624,756864] 4 [45:378:1] 10416f3 [0,-1,0,-249984,48191328] 2 [293:118:1] 10416f4 [0,-1,0,-14544,864864] 4 [53:490:1]
10416g (2 curves)	1	2+ 3- 7+ 31-	2+ 3-  0 7+  2 -2 -2 -4
Curve Equation t Generators 10416g1 [0,1,0,-3508,-81124] 2 [110:936:1] 10416g2 [0,1,0,-2968,-106396] 2 [98:744:1]
10416h (1 curve)	1	2+ 3- 7+ 31-	2+ 3- -1 7+ -3 -3  1  5
Curve Equation t Generators 10416h1 [0,1,0,1064,-2572] 1 [116:1302:1]
10416i (2 curves)	1	2+ 3- 7- 31+	2+ 3-  0 7- -2 -2 -2 -2
Curve Equation t Generators 10416i1 [0,1,0,-288,324] 2 [0:18:1] 10416i2 [0,1,0,-3528,79380] 2 [42:84:1]
10416j (1 curve)	1	2+ 3- 7- 31+	2+ 3-  1 7- -3 -1  1 -3
Curve Equation t Generators 10416j1 [0,1,0,-499280,290736372] 1 [-818:12348:1]
10416k (4 curves)	1	2+ 3- 7- 31+	2+ 3- -2 7-  0  2 -2  0
Curve Equation t Generators 10416k1 [0,1,0,-84,252] 2 [-6:24:1] 10416k2 [0,1,0,-264,-1404] 4 [-9:18:1] 10416k3 [0,1,0,-3984,-98124] 2 [586:735:8] 10416k4 [0,1,0,576,-7788] 2 [47:354:1]
10416l (1 curve)	0	2+ 3- 7- 31-	2+ 3-  1 7-  0 -7  8  6
Curve Equation t 10416l1 [0,1,0,-225,1227] 1
10416m (2 curves)	0	2+ 3- 7- 31-	2+ 3-  4 7- -6  2  2  0
Curve Equation t 10416m1 [0,1,0,9,-648] 2 10416m2 [0,1,0,-1076,-13668] 2
10416n (2 curves)	2	2+ 3- 7- 31-	2+ 3- -4 7- -6 -6 -6 -6
Curve Equation t Generators 10416n1 [0,1,0,-3760,86564] 2 [1496:57834:1]&[-37:420:1] 10416n2 [0,1,0,-7000,-88396] 2 [-70:252:1]&[-46:372:1]
10416o (4 curves)	0	2- 3+ 7+ 31+	2- 3+  0 7+  0 -4 -6  4
Curve Equation t 10416o1 [0,-1,0,-393,2448] 2 10416o2 [0,-1,0,-2108,-34596] 2 10416o3 [0,-1,0,-29793,1989300] 2 10416o4 [0,-1,0,-29828,1984428] 2
10416p (4 curves)	0	2- 3+ 7+ 31+	2- 3+  0 7+ -6  2  6  4
Curve Equation t 10416p1 [0,-1,0,-2968,-50960] 2 10416p2 [0,-1,0,5672,-299792] 2 10416p3 [0,-1,0,-68488,6916336] 2 10416p4 [0,-1,0,-53128,10086640] 2
10416q (2 curves)	0	2- 3+ 7+ 31+	2- 3+  3 7+  3 -1  3  1
Curve Equation t 10416q1 [0,-1,0,1176,-345744] 1 10416q2 [0,-1,0,-10584,9344496] 1
10416r (3 curves)	0	2- 3+ 7+ 31+	2- 3+ -3 7+  0  5  0 -2
Curve Equation t 10416r1 [0,-1,0,363,5661] 1 10416r2 [0,-1,0,-16917,854109] 1 10416r3 [0,-1,0,-1370997,618335421] 1
10416s (1 curve)	1	2- 3+ 7+ 31-	2- 3+  1 7+ -1  5 -5  5
Curve Equation t Generators 10416s1 [0,-1,0,-3680,87168] 1 [34:14:1]
10416t (2 curves)	1	2- 3+ 7+ 31-	2- 3+ -2 7+  0 -2 -6 -2
Curve Equation t Generators 10416t1 [0,-1,0,-150344,20272368] 2 [292:1088:1] 10416t2 [0,-1,0,199576,100334064] 2 [-2038:45883:8]
10416u (4 curves)	1	2- 3+ 7+ 31-	2- 3+ -2 7+  0 -6  6  4
Curve Equation t Generators 10416u1 [0,-1,0,576,5184] 2 [0:72:1] 10416u2 [0,-1,0,-3344,52224] 4 [-14:310:1] 10416u3 [0,-1,0,-20704,-1100480] 2 [-70:30:1] 10416u4 [0,-1,0,-48704,4152768] 4 [154:530:1]
10416v (2 curves)	1	2- 3+ 7+ 31-	2- 3+ -2 7+  6  4  0  4
Curve Equation t Generators 10416v1 [0,-1,0,-504,-7056] 2 [42:210:1] 10416v2 [0,-1,0,-9464,-351120] 2 [170:1710:1]
10416w (2 curves)	1	2- 3+ 7+ 31-	2- 3+  4 7+  2  2 -8 -4
Curve Equation t Generators 10416w1 [0,-1,0,4319,143668] 2 [19908:359135:64] 10416w2 [0,-1,0,-29316,1489068] 2 [2647220:42265059:8000]
10416x (2 curves)	1	2- 3+ 7- 31+	2- 3+  0 7-  6 -2  6 -6
Curve Equation t Generators 10416x1 [0,-1,0,-168,-144] 2 [-3:18:1] 10416x2 [0,-1,0,-1608,25200] 2 [-6:186:1]
10416y (4 curves)	1	2- 3+ 7- 31+	2- 3+  2 7- -4  2 -2  0
Curve Equation t Generators 10416y1 [0,-1,0,-672,6912] 2 [18:18:1] 10416y2 [0,-1,0,-992,0] 4 [50:270:1] 10416y3 [0,-1,0,-11072,-443520] 2 [162:1410:1] 10416y4 [0,-1,0,3968,-3968] 2 [8:168:1]
10416z (4 curves)	1	2- 3+ 7- 31+	2- 3+ -2 7-  0  2  6 -4
Curve Equation t Generators 10416z1 [0,-1,0,-31984,2212288] 2 [106:42:1] 10416z2 [0,-1,0,-33264,2026944] 4 [10:1302:1] 10416z3 [0,-1,0,-143024,-18783552] 2 [458:3402:1] 10416z4 [0,-1,0,56016,10954944] 4 [-136:896:1]
10416ba (2 curves)	1	2- 3+ 7- 31+	2- 3+ -2 7-  2 -4  0  4
Curve Equation t Generators 10416ba1 [0,-1,0,56,304] 2 [4:24:1] 10416ba2 [0,-1,0,-504,3888] 2 [-22:62:1]
10416bb (1 curve)	1	2- 3+ 7- 31+	2- 3+  3 7-  0 -5  0 -6
Curve Equation t Generators 10416bb1 [0,-1,0,91,-6759] 1 [45:294:1]
10416bc (2 curves)	0	2- 3+ 7- 31-	2- 3+  0 7-  0  0 -2  4
Curve Equation t 10416bc1 [0,-1,0,-33,84] 2 10416bc2 [0,-1,0,-68,-84] 2
10416bd (2 curves)	0	2- 3+ 7- 31-	2- 3+  0 7- -2  2  2  2
Curve Equation t 10416bd1 [0,-1,0,-101848,-11023376] 2 10416bd2 [0,-1,0,-1576408,-761279504] 2
10416be (2 curves)	0	2- 3+ 7- 31-	2- 3+  0 7-  4 -4  2 -4
Curve Equation t 10416be1 [0,-1,0,-22713,1325016] 2 10416be2 [0,-1,0,-24428,1115100] 2
10416bf (1 curve)	0	2- 3+ 7- 31-	2- 3+ -3 7-  3 -3 -5  1
Curve Equation t 10416bf1 [0,-1,0,-20032,-1197056] 1
10416bg (2 curves)	1	2- 3- 7+ 31+	2- 3-  2 7+  0 -6 -2  2
Curve Equation t Generators 10416bg1 [0,1,0,-3032,55572] 2 [19:72:1] 10416bg2 [0,1,0,4648,298260] 2 [531:12360:1]
10416bh (2 curves)	0	2- 3- 7+ 31-	2- 3- -2 7+ -2  4  8  4
Curve Equation t 10416bh1 [0,1,0,-89544,10319796] 2 10416bh2 [0,1,0,-1434104,660549012] 2
10416bi (2 curves)	0	2- 3- 7+ 31-	2- 3-  4 7+ -2 -2  2 -8
Curve Equation t 10416bi1 [0,1,0,-56,-108] 2 10416bi2 [0,1,0,184,-588] 2
10416bj (1 curve)	0	2- 3- 7- 31+	2- 3-  1 7-  5 -5 -3  1
Curve Equation t 10416bj1 [0,1,0,0,-588] 1
10416bk (2 curves)	0	2- 3- 7- 31+	2- 3- -2 7-  2  4  0  4
Curve Equation t 10416bk1 [0,1,0,457256,-10070764] 2 10416bk2 [0,1,0,-1836504,-82553580] 2
10416bl (6 curves)	0	2- 3- 7- 31+	2- 3- -2 7- -4 -2 -6  4
Curve Equation t 10416bl1 [0,1,0,-1664,3102900] 2 10416bl2 [0,1,0,-329344,71653556] 4 10416bl3 [0,1,0,-651904,-92077900] 2 10416bl4 [0,1,0,-5249664,4627869876] 8 10416bl5 [0,1,0,-83994624,296267703732] 4 10416bl6 [0,1,0,-5229824,4664605620] 8
10416bm (2 curves)	0	2- 3- 7- 31+	2- 3-  4 7-  2 -2  6 -2
Curve Equation t 10416bm1 [0,1,0,-174056,-28007628] 2 10416bm2 [0,1,0,-179816,-26060748] 2
10416bn (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7-  0  1 -4 -2
Curve Equation t Generators 10416bn1 [0,1,0,-21,63] 1 [3:6:1]
10416bo (4 curves)	1	2- 3- 7- 31-	2- 3-  2 7-  0 -2  2 -8
Curve Equation t Generators 10416bo1 [0,1,0,-58192,-5274988] 2 [-133:360:1] 10416bo2 [0,1,0,-140112,12780180] 4 [-252:5670:1] 10416bo3 [0,1,0,-2006352,1092959892] 4 [834:672:1] 10416bo4 [0,1,0,415408,89441940] 2 [1828:83430:1]

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

Part of Computational Number Theory
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