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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 458640n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.n1 | 458640n1 | \([0, 0, 0, -7203, -3606302]\) | \(-2401/325\) | \(-5594421153484800\) | \([]\) | \(2580480\) | \(1.7011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640n do not have complex multiplication.Modular form 458640.2.a.n
sage: E.q_eigenform(10)