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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 5712.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5712.v1 | 5712ba1 | \([0, 1, 0, -600, 5652]\) | \(-5841725401/231336\) | \(-947552256\) | \([]\) | \(2880\) | \(0.49106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5712.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5712.v do not have complex multiplication.Modular form 5712.2.a.v
sage: E.q_eigenform(10)