Cremona's table of elliptic curves

100688 = 2⁴ · 7 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
100688a (1 curve)	1	2+ 7+ 29+ 31+	2+  2  1 7+ -1  4 -2  1
Curve Equation t Generators 100688a1 [0,-1,0,-302520,-63969712] 1 [163922329821796557798449452161458:54675715597815828300559395267087318:1473366749036118522284203777]
100688b (1 curve)	0	2+ 7+ 29+ 31-	2+  0  2 7+ -3  3 -2  1
Curve Equation t 100688b1 [0,0,0,-13604,-604532] 1
100688c (1 curve)	0	2+ 7+ 29+ 31-	2+  2  1 7+  4  0  3  7
Curve Equation t 100688c1 [0,-1,0,-120,-352] 1
100688d (1 curve)	0	2+ 7+ 29- 31+	2+  1 -2 7+  0 -2 -6  1
Curve Equation t 100688d1 [0,1,0,-2009,-39133] 1
100688e (1 curve)	0	2+ 7+ 29- 31+	2+  2 -2 7+ -1 -7  0  1
Curve Equation t 100688e1 [0,-1,0,-149569,-9464595] 1
100688f (1 curve)	0	2+ 7- 29+ 31+	2+  0 -1 7- -5  2  0  7
Curve Equation t 100688f1 [0,0,0,-3323,-171894] 1
100688g (1 curve)	0	2+ 7- 29+ 31+	2+  1  0 7- -2  4  2 -1
Curve Equation t 100688g1 [0,1,0,629047,-170689405] 1
100688h (1 curve)	2	2+ 7- 29+ 31+	2+ -2  0 7- -5 -5  2 -1
Curve Equation t Generators 100688h1 [0,1,0,-33,-53] 1 [-2:3:1]&[6:1:1]
100688i (1 curve)	1	2+ 7- 29+ 31-	2+ -1  2 7-  4  6  2 -1
Curve Equation t Generators 100688i1 [0,-1,0,223,1933] 1 [-4:31:1]
100688j (1 curve)	1	2+ 7- 29- 31+	2+ -2  3 7-  5  4 -2 -1
Curve Equation t Generators 100688j1 [0,1,0,56,84] 1 [20:98:1]
100688k (4 curves)	0	2+ 7- 29- 31-	2+  0  2 7- -4 -6  2  0
Curve Equation t 100688k1 [0,0,0,-940799,-354058882] 2 100688k2 [0,0,0,-15086419,-22554194910] 4 100688k3 [0,0,0,-15120059,-22448558582] 4 100688k4 [0,0,0,-241382699,-1443468537030] 2
100688l (2 curves)	0	2- 7+ 29+ 31+	2- -1  0 7+  6 -4  6 -5
Curve Equation t 100688l1 [0,-1,0,23547,1807993] 1 100688l2 [0,-1,0,-745253,249007945] 1
100688m (1 curve)	1	2- 7+ 29+ 31-	2-  0 -4 7+  1  1  0  7
Curve Equation t Generators 100688m1 [0,0,0,-272,240] 1 [17:23:1]
100688n (1 curve)	1	2- 7+ 29+ 31-	2- -1  4 7+  6 -4 -6 -7
Curve Equation t Generators 100688n1 [0,-1,0,-269701,54001133] 1 [2426:775:8]
100688o (1 curve)	1	2- 7+ 29+ 31-	2-  2  3 7+ -2  2  3 -1
Curve Equation t Generators 100688o1 [0,-1,0,-84684,-9457108] 1 [-176078729591997357:15013234492424:1050104269894707]
100688p (1 curve)	1	2- 7+ 29+ 31-	2-  2 -3 7+  1 -4 -6 -1
Curve Equation t Generators 100688p1 [0,-1,0,39088,-3164224] 1 [8333498:172401666:24389]
100688q (1 curve)	1	2- 7+ 29+ 31-	2- -2  2 7+  5  1 -4 -5
Curve Equation t Generators 100688q1 [0,1,0,-357,1663] 1 [2:31:1]
100688r (1 curve)	1	2- 7+ 29- 31+	2-  0 -1 7+  2 -4 -7  5
Curve Equation t Generators 100688r1 [0,0,0,-2243,39874] 1 [15:98:1]
100688s (1 curve)	1	2- 7+ 29- 31+	2-  0  2 7+ -1 -1  2 -1
Curve Equation t Generators 100688s1 [0,0,0,-2504,-48228] 1 [-21051:107:729]
100688t (2 curves)	1	2- 7+ 29- 31+	2-  0  2 7+ -2  2  4  0
Curve Equation t Generators 100688t1 [0,0,0,-9404,350835] 2 [-2555:91388:125] 100688t2 [0,0,0,-11119,213978] 2 [-264807620:-7339538517:10648000]
100688u (2 curves)	1	2- 7+ 29- 31+	2-  2  0 7+  3 -1 -6  7
Curve Equation t Generators 100688u1 [0,-1,0,-1013,-9859] 1 [460:9831:1] 100688u2 [0,-1,0,-24213,1457309] 1 [2305132:47421015:4913]
100688v (2 curves)	1	2- 7+ 29- 31+	2-  2 -3 7+  0 -4 -3  1
Curve Equation t Generators 100688v1 [0,-1,0,-39032,-2954896] 1 [-3066:406:27] 100688v2 [0,-1,0,-83112,4862576] 1 [-1122:77518:27]
100688w (1 curve)	0	2- 7+ 29- 31-	2-  0 -3 7+ -1  2  0 -5
Curve Equation t 100688w1 [0,0,0,-1139,-15566] 1
100688x (1 curve)	2	2- 7+ 29- 31-	2- -1 -2 7+ -4  2 -2 -1
Curve Equation t Generators 100688x1 [0,-1,0,-2989,64673] 1 [37:-58:1]&[-11:310:1]
100688y (2 curves)	1	2- 7- 29+ 31+	2-  0  2 7- -2  0  8  4
Curve Equation t Generators 100688y1 [0,0,0,6301,-112030] 2 [22355:324394:125] 100688y2 [0,0,0,-29539,-965022] 2 [137030115:-1157587722:614125]
100688z (1 curve)	1	2- 7- 29+ 31+	2-  3 -4 7- -2  0  2 -5
Curve Equation t Generators 100688z1 [0,0,0,-124192,16845680] 1 [148401:1891:729]
100688ba (1 curve)	0	2- 7- 29+ 31-	2-  1  0 7-  2  4 -2  5
Curve Equation t 100688ba1 [0,1,0,-533,-10813] 1
100688bb (1 curve)	0	2- 7- 29+ 31-	2-  1 -4 7- -6  4  2  7
Curve Equation t 100688bb1 [0,1,0,-4765,-332441] 1
100688bc (1 curve)	0	2- 7- 29+ 31-	2-  2  0 7-  3 -3 -2  1
Curve Equation t 100688bc1 [0,-1,0,-5173,-141495] 1
100688bd (1 curve)	0	2- 7- 29+ 31-	2-  2  1 7-  0  4  7 -1
Curve Equation t 100688bd1 [0,-1,0,-33040,2322624] 1
100688be (1 curve)	0	2- 7- 29+ 31-	2-  2 -1 7- -2  2  7 -1
Curve Equation t 100688be1 [0,-1,0,-4796,129452] 1
100688bf (1 curve)	0	2- 7- 29+ 31-	2- -2 -3 7- -4  4  7 -1
Curve Equation t 100688bf1 [0,1,0,-27199312,52859849364] 1
100688bg (1 curve)	0	2- 7- 29- 31+	2-  2  2 7- -3 -5  0  5
Curve Equation t 100688bg1 [0,-1,0,-2357,-43267] 1
100688bh (1 curve)	0	2- 7- 29- 31+	2- -2  3 7- -2  2  5  1
Curve Equation t 100688bh1 [0,1,0,-684,4504] 1
100688bi (1 curve)	1	2- 7- 29- 31-	2- -2 -1 7-  3  4  2  1
Curve Equation t Generators 100688bi1 [0,1,0,-58336,5413236] 1 [132:174:1]

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

Part of Computational Number Theory
Back to Tables and computations