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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 350f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350.d1 | 350f1 | \([1, -1, 1, -180, 1047]\) | \(-1026590625/100352\) | \(-62720000\) | \([]\) | \(264\) | \(0.23710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350f do not have complex multiplication.Modular form 350.2.a.f
sage: E.q_eigenform(10)