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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 457056.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
457056.i1 | 457056i1 | \([0, 0, 0, -12696, 584016]\) | \(-13824\) | \(-16371585036288\) | \([]\) | \(1140480\) | \(1.2851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 457056.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 457056.i do not have complex multiplication.Modular form 457056.2.a.i
sage: E.q_eigenform(10)