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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 13950.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13950.f1 | 13950q1 | \([1, -1, 0, 21933, -691659]\) | \(102437538839/77137920\) | \(-878649120000000\) | \([]\) | \(84480\) | \(1.5556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13950.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13950.f do not have complex multiplication.Modular form 13950.2.a.f
sage: E.q_eigenform(10)