Cremona's table of elliptic curves

13860 = 2² · 3² · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
13860a (2 curves)	0	2- 3+ 5+ 7+ 11+	2- 3+ 5+ 7+ 11+  6 -6  0
Curve Equation t 13860a1 [0,0,0,-34368,2452333] 2 13860a2 [0,0,0,-34263,2468062] 2
13860b (2 curves)	1	2- 3+ 5+ 7- 11+	2- 3+ 5+ 7- 11+ -4  2 -6
Curve Equation t Generators 13860b1 [0,0,0,-7668,258417] 2 [24:297:1] 13860b2 [0,0,0,-8343,210222] 2 [19:242:1]
13860c (4 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11-  2 -6 -4
Curve Equation t 13860c1 [0,0,0,-6648,208633] 6 13860c2 [0,0,0,-6543,215542] 6 13860c3 [0,0,0,-9288,27837] 2 13860c4 [0,0,0,37017,222318] 2
13860d (2 curves)	0	2- 3+ 5+ 7- 11-	2- 3+ 5+ 7- 11-  6  2  8
Curve Equation t 13860d1 [0,0,0,-48,117] 2 13860d2 [0,0,0,57,558] 2
13860e (2 curves)	0	2- 3+ 5- 7+ 11-	2- 3+ 5- 7+ 11-  6  6  0
Curve Equation t 13860e1 [0,0,0,-309312,-66212991] 2 13860e2 [0,0,0,-308367,-66637674] 2
13860f (4 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  2  6 -4
Curve Equation t 13860f1 [0,0,0,-1032,-1031] 6 13860f2 [0,0,0,4113,-8234] 6 13860f3 [0,0,0,-59832,-5633091] 2 13860f4 [0,0,0,-58887,-5819634] 2
13860g (2 curves)	0	2- 3+ 5- 7- 11+	2- 3+ 5- 7- 11+  6 -2  8
Curve Equation t 13860g1 [0,0,0,-432,-3159] 2 13860g2 [0,0,0,513,-15066] 2
13860h (2 curves)	1	2- 3+ 5- 7- 11-	2- 3+ 5- 7- 11- -4 -2 -6
Curve Equation t Generators 13860h1 [0,0,0,-852,-9571] 2 [223:3300:1] 13860h2 [0,0,0,-927,-7786] 2 [-10:22:1]
13860i (2 curves)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+  0  6 -6
Curve Equation t Generators 13860i1 [0,0,0,1212,1213] 2 [11:126:1] 13860i2 [0,0,0,-4863,9718] 2 [-42:374:1]
13860j (1 curve)	1	2- 3- 5+ 7+ 11+	2- 3- 5+ 7+ 11+ -6  3  3
Curve Equation t Generators 13860j1 [0,0,0,-17677848,-28621396172] 1 [7079405809022415279669946787228563:913814692932019912005371192479894617:398869117771796234239847321663]
13860k (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  2  6  4
Curve Equation t 13860k1 [0,0,0,72,-243] 2 13860k2 [0,0,0,-423,-2322] 2
13860l (2 curves)	0	2- 3- 5+ 7+ 11-	2- 3- 5+ 7+ 11-  4 -2 -6
Curve Equation t 13860l1 [0,0,0,492,-45043] 2 13860l2 [0,0,0,-16383,-777418] 2
13860m (2 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -2  2  4
Curve Equation t 13860m1 [0,0,0,2472,-185803] 2 13860m2 [0,0,0,-37623,-2599522] 2
13860n (1 curve)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+  4  5 -5
Curve Equation t 13860n1 [0,0,0,55392,164454932] 1
13860o (4 curves)	0	2- 3- 5+ 7- 11+	2- 3- 5+ 7- 11+ -4  0 -4
Curve Equation t 13860o1 [0,0,0,-22368,1168333] 2 13860o2 [0,0,0,-82263,-7803938] 2 13860o3 [0,0,0,-1764768,902359393] 6 13860o4 [0,0,0,-1765263,901827862] 6
13860p (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  4 -2  2
Curve Equation t Generators 13860p1 [0,0,0,-33278628,286796059877] 2 [314788:31490613:64] 13860p2 [0,0,0,-887575503,10152728950502] 2 [26662:2332638:1]
13860q (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11-  4 -8 -4
Curve Equation t Generators 13860q1 [0,0,0,-768,-8143] 2 [-16:7:1] 13860q2 [0,0,0,-1263,3638] 2 [-29:126:1]
13860r (2 curves)	1	2- 3- 5+ 7- 11-	2- 3- 5+ 7- 11- -4 -3 -7
Curve Equation t Generators 13860r1 [0,0,0,-20208,-2287532] 1 [437:8505:1] 13860r2 [0,0,0,174192,48470308] 3 [-148:4410:1]
13860s (2 curves)	0	2- 3- 5- 7+ 11+	2- 3- 5- 7+ 11+ -6 -2  0
Curve Equation t 13860s1 [0,0,0,-192,-3211] 2 13860s2 [0,0,0,-4647,-121714] 2
13860t (2 curves)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  0  2 -6
Curve Equation t Generators 13860t1 [0,0,0,-740892,336961501] 2 [-733:22050:1] 13860t2 [0,0,0,-13042767,18127933126] 2 [2022:4730:1]
13860u (1 curve)	1	2- 3- 5- 7+ 11-	2- 3- 5- 7+ 11-  0 -3 -1
Curve Equation t Generators 13860u1 [0,0,0,-192,-1244] 1 [20:54:1]
13860v (2 curves)	1	2- 3- 5- 7- 11+	2- 3- 5- 7- 11+  2  3 -7
Curve Equation t Generators 13860v1 [0,0,0,2328,-108236] 1 [53:405:1] 13860v2 [0,0,0,-21432,3317956] 3 [-163:1575:1]
13860w (2 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2 -2  0
Curve Equation t 13860w1 [0,0,0,41568,5228669] 2 13860w2 [0,0,0,-319287,56253566] 2
13860x (4 curves)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  6  8
Curve Equation t 13860x1 [0,0,0,-23952,-1447931] 2 13860x2 [0,0,0,-384807,-91878194] 2 13860x3 [0,0,0,92688,-6938759] 6 13860x4 [0,0,0,-446367,-60520826] 6
13860y (1 curve)	0	2- 3- 5- 7- 11-	2- 3- 5- 7- 11-  2  7  3
Curve Equation t 13860y1 [0,0,0,-51672,-4522156] 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