Cremona's table of elliptic curves

2496 = 2⁶ · 3 · 13

Class	r	Atkin-Lehner	Eigenvalues
2496a (4 curves)	1	2+ 3+ 13+	2+ 3+  0  2  0 13+ -6 -2
Curve Equation t Generators 2496a1 [0,-1,0,-53,21] 2 [-3:12:1] 2496a2 [0,-1,0,-593,5745] 2 [-11:104:1] 2496a3 [0,-1,0,-2933,-60171] 2 [116:1071:1] 2496a4 [0,-1,0,-2993,-57519] 2 [-35:56:1]
2496b (4 curves)	1	2+ 3+ 13+	2+ 3+  2  0  4 13+ -6 -8
Curve Equation t Generators 2496b1 [0,-1,0,-92,-18] 2 [-22:115:8] 2496b2 [0,-1,0,-937,11305] 4 [-8:135:1] 2496b3 [0,-1,0,-14977,710497] 2 [96:385:1] 2496b4 [0,-1,0,-417,23265] 2 [67:540:1]
2496c (4 curves)	1	2+ 3+ 13+	2+ 3+ -2  0  0 13+  2  4
Curve Equation t Generators 2496c1 [0,-1,0,-29,45] 2 [-4:9:1] 2496c2 [0,-1,0,-209,-1071] 4 [-8:5:1] 2496c3 [0,-1,0,-3329,-72831] 2 [67:20:1] 2496c4 [0,-1,0,31,-3615] 2 [40:245:1]
2496d (2 curves)	0	2+ 3+ 13-	2+ 3+  0  0 -6 13-  2  0
Curve Equation t 2496d1 [0,-1,0,-13,-35] 2 2496d2 [0,-1,0,-273,-1647] 2
2496e (2 curves)	0	2+ 3+ 13-	2+ 3+  2  2  6 13- -2  6
Curve Equation t 2496e1 [0,-1,0,8,10] 2 2496e2 [0,-1,0,-57,153] 2
2496f (2 curves)	0	2+ 3+ 13-	2+ 3+ -2  2  2 13-  6 -2
Curve Equation t 2496f1 [0,-1,0,-624,-9486] 2 2496f2 [0,-1,0,-11609,-477447] 2
2496g (2 curves)	0	2+ 3+ 13-	2+ 3+  4 -4  2 13- -6 -4
Curve Equation t 2496g1 [0,-1,0,19,93] 2 2496g2 [0,-1,0,-241,1393] 2
2496h (4 curves)	0	2+ 3- 13+	2+ 3-  2  0 -4 13+ -6  8
Curve Equation t 2496h1 [0,1,0,-92,18] 2 2496h2 [0,1,0,-937,-11305] 4 2496h3 [0,1,0,-14977,-710497] 2 2496h4 [0,1,0,-417,-23265] 2
2496i (4 curves)	0	2+ 3- 13+	2+ 3-  2  4  0 13+  2 -8
Curve Equation t 2496i1 [0,1,0,-157,707] 2 2496i2 [0,1,0,-177,495] 4 2496i3 [0,1,0,-1217,-16353] 2 2496i4 [0,1,0,543,4095] 2
2496j (4 curves)	0	2+ 3- 13+	2+ 3- -2  4  4 13+  2  8
Curve Equation t 2496j1 [0,1,0,-1249,354431] 2 2496j2 [0,1,0,-83169,9119871] 4 2496j3 [0,1,0,-149729,-7613313] 2 2496j4 [0,1,0,-1327329,588151935] 2
2496k (4 curves)	0	2+ 3- 13+	2+ 3- -2 -4 -4 13+  2  0
Curve Equation t 2496k1 [0,1,0,31,-129] 2 2496k2 [0,1,0,-289,-1729] 4 2496k3 [0,1,0,-4449,-115713] 2 2496k4 [0,1,0,-1249,14975] 2
2496l (2 curves)	0	2+ 3- 13+	2+ 3-  4 -2  4 13+  2  2
Curve Equation t 2496l1 [0,1,0,-21,27] 2 2496l2 [0,1,0,-81,-273] 2
2496m (2 curves)	1	2+ 3- 13-	2+ 3-  0 -4  2 13- -6  4
Curve Equation t Generators 2496m1 [0,1,0,-13,-13] 2 [-2:3:1] 2496m2 [0,1,0,47,-49] 2 [10:39:1]
2496n (2 curves)	1	2+ 3- 13-	2+ 3-  2 -2 -6 13- -2 -6
Curve Equation t Generators 2496n1 [0,1,0,8,-10] 2 [53:390:1] 2496n2 [0,1,0,-57,-153] 2 [-6:3:1]
2496o (2 curves)	1	2+ 3- 13-	2+ 3- -2 -2 -2 13-  6  2
Curve Equation t Generators 2496o1 [0,1,0,-624,9486] 2 [21:78:1] 2496o2 [0,1,0,-11609,477447] 2 [34:351:1]
2496p (2 curves)	1	2+ 3- 13-	2+ 3- -4  0  2 13-  2 -8
Curve Equation t Generators 2496p1 [0,1,0,-2605,47219] 2 [131:-1404:1] 2496p2 [0,1,0,2255,207599] 2 [5:468:1]
2496q (2 curves)	0	2- 3+ 13+	2- 3+  0  2  0 13+  2  2
Curve Equation t 2496q1 [0,-1,0,-8,6] 2 2496q2 [0,-1,0,-73,-215] 2
2496r (2 curves)	0	2- 3+ 13+	2- 3+  0 -2  4 13+ -6  6
Curve Equation t 2496r1 [0,-1,0,-328,2398] 2 2496r2 [0,-1,0,-393,1449] 2
2496s (4 curves)	0	2- 3+ 13+	2- 3+  2 -4  0 13+  2  8
Curve Equation t 2496s1 [0,-1,0,-157,-707] 2 2496s2 [0,-1,0,-177,-495] 4 2496s3 [0,-1,0,-1217,16353] 2 2496s4 [0,-1,0,543,-4095] 2
2496t (4 curves)	0	2- 3+ 13+	2- 3+ -2  4  4 13+  2  0
Curve Equation t 2496t1 [0,-1,0,31,129] 2 2496t2 [0,-1,0,-289,1729] 4 2496t3 [0,-1,0,-1249,-14975] 2 2496t4 [0,-1,0,-4449,115713] 2
2496u (4 curves)	0	2- 3+ 13+	2- 3+ -2 -4 -4 13+  2 -8
Curve Equation t 2496u1 [0,-1,0,-1249,-354431] 2 2496u2 [0,-1,0,-83169,-9119871] 4 2496u3 [0,-1,0,-1327329,-588151935] 2 2496u4 [0,-1,0,-149729,7613313] 2
2496v (2 curves)	0	2- 3+ 13+	2- 3+  4  2 -4 13+  2 -2
Curve Equation t 2496v1 [0,-1,0,-21,-27] 2 2496v2 [0,-1,0,-81,273] 2
2496w (2 curves)	1	2- 3+ 13-	2- 3+  0  4 -2 13- -6 -4
Curve Equation t Generators 2496w1 [0,-1,0,-13,13] 2 [-3:4:1] 2496w2 [0,-1,0,47,49] 2 [0:7:1]
2496x (2 curves)	1	2- 3+ 13-	2- 3+ -4  0 -2 13-  2  8
Curve Equation t Generators 2496x1 [0,-1,0,-2605,-47219] 2 [-27:52:1] 2496x2 [0,-1,0,2255,-207599] 2 [99:988:1]
2496y (2 curves)	1	2- 3- 13+	2- 3-  0  2 -4 13+ -6 -6
Curve Equation t Generators 2496y1 [0,1,0,-328,-2398] 2 [41:234:1] 2496y2 [0,1,0,-393,-1449] 2 [-15:36:1]
2496z (2 curves)	1	2- 3- 13+	2- 3-  0 -2  0 13+  2 -2
Curve Equation t Generators 2496z1 [0,1,0,-8,-6] 2 [-6:3:8] 2496z2 [0,1,0,-73,215] 2 [1:12:1]
2496ba (4 curves)	1	2- 3- 13+	2- 3-  0 -2  0 13+ -6  2
Curve Equation t Generators 2496ba1 [0,1,0,-53,-21] 2 [-5:12:1] 2496ba2 [0,1,0,-593,-5745] 2 [-14:3:1] 2496ba3 [0,1,0,-2933,60171] 2 [19:108:1] 2496ba4 [0,1,0,-2993,57519] 2 [18:99:1]
2496bb (4 curves)	1	2- 3- 13+	2- 3- -2  0  0 13+  2 -4
Curve Equation t Generators 2496bb1 [0,1,0,-29,-45] 2 [-2:3:1] 2496bb2 [0,1,0,-209,1071] 4 [-9:48:1] 2496bb3 [0,1,0,-3329,72831] 2 [69:420:1] 2496bb4 [0,1,0,31,3615] 2 [-6:57:1]
2496bc (2 curves)	0	2- 3- 13-	2- 3-  0  0  6 13-  2  0
Curve Equation t 2496bc1 [0,1,0,-13,35] 2 2496bc2 [0,1,0,-273,1647] 2
2496bd (2 curves)	0	2- 3- 13-	2- 3-  4  4 -2 13- -6  4
Curve Equation t 2496bd1 [0,1,0,19,-93] 2 2496bd2 [0,1,0,-241,-1393] 2

Data from Elliptic Curve Data by J. E. Cremona.
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