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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 310464.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.c1 | 310464c1 | \([0, 0, 0, 11508, -543760]\) | \(17999471/24057\) | \(-225270850387968\) | \([]\) | \(1376256\) | \(1.4398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.c do not have complex multiplication.Modular form 310464.2.a.c
sage: E.q_eigenform(10)