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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8016.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8016.c1 | 8016b1 | \([0, -1, 0, -296, 2064]\) | \(-1405190738/1503\) | \(-3078144\) | \([]\) | \(1152\) | \(0.16131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8016.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8016.c do not have complex multiplication.Modular form 8016.2.a.c
sage: E.q_eigenform(10)