Cremona's table of elliptic curves

2670 = 2 · 3 · 5 · 89

Class	r	Atkin-Lehner	Eigenvalues
2670a (2 curves)	1	2+ 3+ 5+ 89+	2+ 3+ 5+  0  0  0  2 -6
Curve Equation t Generators 2670a1 [1,1,0,-143,597] 2 [2:17:1] 2670a2 [1,1,0,-43,1537] 2 [7:37:1]
2670b (4 curves)	0	2+ 3- 5+ 89+	2+ 3- 5+ -4  0 -4 -6  2
Curve Equation t 2670b1 [1,0,1,-985354,376392956] 6 2670b2 [1,0,1,-984954,376713916] 6 2670b3 [1,0,1,-1018969,349327292] 2 2670b4 [1,0,1,1541031,1822863292] 2
2670c (2 curves)	1	2- 3+ 5- 89+	2- 3+ 5- -2  0 -6 -2  6
Curve Equation t Generators 2670c1 [1,1,1,-15005,492275] 2 [-57:1108:1] 2670c2 [1,1,1,-219805,39568115] 2 [295:564:1]
2670d (4 curves)	0	2- 3+ 5- 89-	2- 3+ 5-  4  4  2  2  4
Curve Equation t 2670d1 [1,1,1,-850,-9265] 4 2670d2 [1,1,1,-13350,-599265] 4 2670d3 [1,1,1,-213600,-38086065] 2 2670d4 [1,1,1,-13100,-622465] 2
2670e (4 curves)	0	2- 3- 5- 89+	2- 3- 5-  2  0  2  6  2
Curve Equation t 2670e1 [1,0,0,-1685,-23775] 6 2670e2 [1,0,0,-6685,185225] 6 2670e3 [1,0,0,-132185,-18508875] 2 2670e4 [1,0,0,-132235,-18494185] 2
2670f (4 curves)	1	2- 3- 5- 89-	2- 3- 5- -4 -4 -2 -6  0
Curve Equation t Generators 2670f1 [1,0,0,-1885,24497] 4 [-46:143:1] 2670f2 [1,0,0,-9885,-357903] 4 [-66:123:1] 2670f3 [1,0,0,-155685,-23656743] 2 [-228:123:1] 2670f4 [1,0,0,7915,-1500663] 2 [112:835:1]

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

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