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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 124950.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.f1 | 124950f1 | \([1, 1, 0, 324288100, 1771167810000]\) | \(41870910074901457151/39273784934400000\) | \(-3537586791618969600000000000\) | \([]\) | \(102896640\) | \(3.9733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124950.f do not have complex multiplication.Modular form 124950.2.a.f
sage: E.q_eigenform(10)