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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 75150.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.f1 | 75150j1 | \([1, -1, 0, -5865844662, 172920958255476]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-1117712998237785292800\) | \([]\) | \(46110240\) | \(3.9611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75150.f do not have complex multiplication.Modular form 75150.2.a.f
sage: E.q_eigenform(10)