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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 56350v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.a1 | 56350v1 | \([1, -1, 0, 383, 21181]\) | \(2109375/67712\) | \(-199156227200\) | \([]\) | \(145152\) | \(0.84810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 56350v do not have complex multiplication.Modular form 56350.2.a.v
sage: E.q_eigenform(10)