Cremona's table of elliptic curves

1734 = 2 · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+	Signs for the Atkin-Lehner involutions
Conductor	1734	Conductor
Count	4	Number of curves in isogeny class
Curves	1734c1 1734c2 1734c3 1734c4	Curves in isogeny class
deg	640	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  2  0 -6 17+  0	Hecke eigenvalues for primes less than 20
L	2.1671407506986	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13872bj 55488bm 5202k 43350da	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1734c

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
+	+	2	2	0	-6	+	0	-6	-6	-10	-2	0	-4	8	6	0	-10	8	-10	16	6	16	10	-12

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Quadratic twists for isogeny class 1734c

-4	8	-3	5	-7	17
13872bj	55488bm	5202k	43350da	84966bz	1734f

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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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