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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 190575f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.p1 | 190575f1 | \([0, 0, 1, -358875, 82749026]\) | \(210720960000000/16807\) | \(407695382325\) | \([]\) | \(1105920\) | \(1.6733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575f do not have complex multiplication.Modular form 190575.2.a.f
sage: E.q_eigenform(10)