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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 331056.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.v1 | 331056v1 | \([0, 0, 0, 2904, 47916]\) | \(221184/209\) | \(-2559211193088\) | \([]\) | \(506880\) | \(1.0681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056.v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 331056.v do not have complex multiplication.Modular form 331056.2.a.v
sage: E.q_eigenform(10)