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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 59150f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59150.g1 | 59150f1 | \([1, 1, 0, 3000, -200000]\) | \(86938307/560000\) | \(-19223750000000\) | \([]\) | \(193536\) | \(1.2307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59150f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59150f do not have complex multiplication.Modular form 59150.2.a.f
sage: E.q_eigenform(10)