Cremona's table of elliptic curves

23712 = 2⁵ · 3 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
23712a (4 curves)	1	2+ 3+ 13+ 19+	2+ 3+ -2  0 -4 13+ -6 19+
Curve Equation t Generators 23712a1 [0,-1,0,-94,-176] 4 [-5:12:1] 23712a2 [0,-1,0,296,-1580] 2 [21:116:1] 23712a3 [0,-1,0,-664,6664] 2 [33:140:1] 23712a4 [0,-1,0,-1329,-18207] 2 [43:48:1]
23712b (1 curve)	0	2+ 3+ 13+ 19-	2+ 3+ -1 -1  0 13+  6 19-
Curve Equation t 23712b1 [0,-1,0,-81,-351] 1
23712c (2 curves)	0	2+ 3+ 13- 19+	2+ 3+  0  0  0 13- -2 19+
Curve Equation t 23712c1 [0,-1,0,-397171078,3052842025876] 2 23712c2 [0,-1,0,-6358280193,195147198813105] 2
23712d (2 curves)	0	2+ 3+ 13- 19+	2+ 3+  0  0  4 13-  6 19+
Curve Equation t 23712d1 [0,-1,0,242,244] 2 23712d2 [0,-1,0,-993,2961] 2
23712e (1 curve)	0	2+ 3+ 13- 19+	2+ 3+  0 -3  3 13- -2 19+
Curve Equation t 23712e1 [0,-1,0,112,-696] 1
23712f (1 curve)	0	2+ 3+ 13- 19+	2+ 3+  3 -3  4 13- -6 19+
Curve Equation t 23712f1 [0,-1,0,-35729,-2594079] 1
23712g (4 curves)	1	2+ 3- 13+ 19-	2+ 3- -2  0  4 13+ -6 19-
Curve Equation t Generators 23712g1 [0,1,0,-94,176] 4 [106:1092:1] 23712g2 [0,1,0,296,1580] 2 [842:8799:8] 23712g3 [0,1,0,-664,-6664] 2 [-3378:2555:216] 23712g4 [0,1,0,-1329,18207] 2 [9:84:1]
23712h (4 curves)	1	2+ 3- 13+ 19-	2+ 3- -2 -4  4 13+  2 19-
Curve Equation t Generators 23712h1 [0,1,0,-9634,-367024] 4 [305:5016:1] 23712h2 [0,1,0,-7944,-498168] 4 [138:1026:1] 23712h3 [0,1,0,-11344,-229540] 2 [407209:6658968:1331] 23712h4 [0,1,0,-154129,-23341729] 2 [233224:554895:512]
23712i (1 curve)	1	2+ 3- 13+ 19-	2+ 3- -4  5  1 13+  6 19-
Curve Equation t Generators 23712i1 [0,1,0,-1080,15144] 1 [2:114:1]
23712j (1 curve)	0	2+ 3- 13- 19-	2+ 3-  1  3 -4 13-  6 19-
Curve Equation t 23712j1 [0,1,0,-1530705,-729439713] 1
23712k (4 curves)	0	2- 3+ 13+ 19+	2- 3+ -2  4 -4 13+  2 19+
Curve Equation t 23712k1 [0,-1,0,-9634,367024] 4 23712k2 [0,-1,0,-7944,498168] 2 23712k3 [0,-1,0,-11344,229540] 2 23712k4 [0,-1,0,-154129,23341729] 4
23712l (1 curve)	0	2- 3+ 13+ 19+	2- 3+ -4 -5 -1 13+  6 19+
Curve Equation t 23712l1 [0,-1,0,-1080,-15144] 1
23712m (1 curve)	1	2- 3+ 13- 19+	2- 3+  1 -3  4 13-  6 19+
Curve Equation t Generators 23712m1 [0,-1,0,-1530705,729439713] 1 [713:76:1]
23712n (2 curves)	1	2- 3+ 13- 19+	2- 3+ -2  4 -2 13- -2 19+
Curve Equation t Generators 23712n1 [0,-1,0,1846,48468] 2 [-8:182:1] 23712n2 [0,-1,0,-14209,533329] 2 [239:3276:1]
23712o (4 curves)	0	2- 3+ 13- 19-	2- 3+ -2  0  0 13-  2 19-
Curve Equation t 23712o1 [0,-1,0,-494,-4056] 4 23712o2 [0,-1,0,-304,-7400] 2 23712o3 [0,-1,0,-689,-351] 4 23712o4 [0,-1,0,-7904,-267852] 2
23712p (1 curve)	1	2- 3- 13+ 19+	2- 3- -1  1  0 13+  6 19+
Curve Equation t Generators 23712p1 [0,1,0,-81,351] 1 [3:-12:1]
23712q (4 curves)	0	2- 3- 13- 19+	2- 3- -2  0  0 13-  2 19+
Curve Equation t 23712q1 [0,1,0,-494,4056] 4 23712q2 [0,1,0,-304,7400] 4 23712q3 [0,1,0,-689,351] 2 23712q4 [0,1,0,-7904,267852] 2
23712r (2 curves)	1	2- 3- 13- 19-	2- 3-  0  0  0 13- -2 19-
Curve Equation t Generators 23712r1 [0,1,0,-397171078,-3052842025876] 2 [26228:2138526:1] 23712r2 [0,1,0,-6358280193,-195147198813105] 2 [397521:-245142612:1]
23712s (2 curves)	1	2- 3- 13- 19-	2- 3-  0  0 -4 13-  6 19-
Curve Equation t Generators 23712s1 [0,1,0,242,-244] 2 [14:78:1] 23712s2 [0,1,0,-993,-2961] 2 [-30:27:1]
23712t (1 curve)	1	2- 3- 13- 19-	2- 3-  0  3 -3 13- -2 19-
Curve Equation t Generators 23712t1 [0,1,0,112,696] 1 [10:54:1]
23712u (2 curves)	1	2- 3- 13- 19-	2- 3- -2 -4  2 13- -2 19-
Curve Equation t Generators 23712u1 [0,1,0,1846,-48468] 2 [34:234:1] 23712u2 [0,1,0,-14209,-533329] 2 [281:-4212:1]
23712v (1 curve)	1	2- 3- 13- 19-	2- 3-  3  3 -4 13- -6 19-
Curve Equation t Generators 23712v1 [0,1,0,-35729,2594079] 1 [-45:2028:1]

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