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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 430950.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.f1 | 430950f1 | \([1, 1, 0, -543195, 153488925]\) | \(839064863107505957/2376562581504\) | \(50204884534272000\) | \([]\) | \(6589440\) | \(2.0764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 430950.f do not have complex multiplication.Modular form 430950.2.a.f
sage: E.q_eigenform(10)