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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 19950.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.f1 | 19950q1 | \([1, 1, 0, -16450, 7616500]\) | \(-252076657013/12708347904\) | \(-24820992000000000\) | \([]\) | \(228480\) | \(1.8258\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19950.f do not have complex multiplication.Modular form 19950.2.a.f
sage: E.q_eigenform(10)