Cremona's table of elliptic curves

30345 = 3 · 5 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	3+ 5- 7+ 17+	Signs for the Atkin-Lehner involutions
Conductor	30345	Conductor
Count	4	Number of curves in isogeny class
Curves	30345j1 30345j2 30345j3 30345j4	Curves in isogeny class
deg	221184	Modular degree for the optimal curve
Eigenvalues	1 3+ 5- 7+  0 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	1.3340772077517	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	91035j 1785j	Quadratic twists by: -3 17

Hecke Eigenvalues for isogeny class 30345j

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

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Quadratic twists for isogeny class 30345j

-3	17
91035j	1785j

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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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