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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 916c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
916.a1 | 916c1 | \([0, 0, 0, -4, 1]\) | \(442368/229\) | \(3664\) | \([]\) | \(132\) | \(-0.62413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 916c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 916c do not have complex multiplication.Modular form 916.2.a.c
sage: E.q_eigenform(10)