Cremona's table of elliptic curves

1155 = 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	3+ 5- 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	1155	Conductor
Count	4	Number of curves in isogeny class
Curves	1155f1 1155f2 1155f3 1155f4	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	1 3+ 5- 7- 11+ -2 -6  4	Hecke eigenvalues for primes less than 20
L	2.8369366824155	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	18480dc 73920cx 3465k 5775o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1155f

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	+	-	-	+	-2	-6	4	-4	-2	-4	-2	-2	-12	0	-2	0	-14	-8	-16	10	16	-4	-6	2

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Quadratic twists for isogeny class 1155f

-4	8	-3	5	-7	-11
18480dc	73920cx	3465k	5775o	8085n	12705e

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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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