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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 284592v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.v1 | 284592v1 | \([0, -1, 0, 92888, 25956064]\) | \(50250332/194481\) | \(-343033169683792896\) | \([]\) | \(2949120\) | \(2.0475\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 284592v do not have complex multiplication.Modular form 284592.2.a.v
sage: E.q_eigenform(10)