Cremona's table of elliptic curves

1260 = 2² · 3² · 5 · 7

Class	r	Atkin-Lehner	Eigenvalues
1260a (2 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  4  0  2 -6
Curve Equation t 1260a1 [0,0,0,-108,-243] 2 1260a2 [0,0,0,-783,8262] 2
1260b (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  0 -4 -6  2
Curve Equation t Generators 1260b1 [0,0,0,-348,2497] 6 [-16:63:1] 1260b2 [0,0,0,-423,1342] 6 [3:10:1] 1260b3 [0,0,0,-1188,-12987] 2 [-174:405:8] 1260b4 [0,0,0,-18063,-934362] 2 [24270:212058:125]
1260c (2 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+ -4  0 -2 -6
Curve Equation t Generators 1260c1 [0,0,0,-12,9] 2 [-2:5:1] 1260c2 [0,0,0,-87,-306] 2 [-5:2:1]
1260d (4 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  0 -4  6  2
Curve Equation t 1260d1 [0,0,0,-132,481] 6 1260d2 [0,0,0,-2007,34606] 6 1260d3 [0,0,0,-3132,-67419] 2 1260d4 [0,0,0,-3807,-36234] 2
1260e (2 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+ -2  4 -2 -2
Curve Equation t Generators 1260e1 [0,0,0,-48,-47] 2 [-4:9:1] 1260e2 [0,0,0,177,-362] 2 [11:54:1]
1260f (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2  4 -2  2
Curve Equation t 1260f1 [0,0,0,-5088,-139687] 2 1260f2 [0,0,0,-4863,-152602] 2
1260g (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -3 -1  3  2
Curve Equation t 1260g1 [0,0,0,-48,628] 1 1260g2 [0,0,0,-7248,237508] 3
1260h (2 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+ -2  4 -6  6
Curve Equation t 1260h1 [0,0,0,-36552,-1788379] 2 1260h2 [0,0,0,104073,-12222754] 2
1260i (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  5 -3  1  6
Curve Equation t 1260i1 [0,0,0,288,-5724] 1
1260j (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -6 -4 -6  2
Curve Equation t Generators 1260j1 [0,0,0,-552,-4979] 2 [47:270:1] 1260j2 [0,0,0,-327,-9074] 2 [110:1134:1] 1260j3 [0,0,0,-2712,50209] 6 [-52:225:1] 1260j4 [0,0,0,2913,231334] 6 [-37:270:1]

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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