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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 95139.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95139.f1 | 95139c1 | \([1, -1, 0, 94959, -3977564]\) | \(152303/99\) | \(-61553999063154411\) | \([]\) | \(833280\) | \(1.9104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95139.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95139.f do not have complex multiplication.Modular form 95139.2.a.f
sage: E.q_eigenform(10)