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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6630.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6630.c1 | 6630a1 | \([1, 1, 0, 312, 307008]\) | \(3342032927351/40685186580480\) | \(-40685186580480\) | \([]\) | \(18240\) | \(1.2903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6630.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6630.c do not have complex multiplication.Modular form 6630.2.a.c
sage: E.q_eigenform(10)