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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 14700.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14700.f1 | 14700k1 | \([0, -1, 0, -71458, -13592963]\) | \(-6400/9\) | \(-56747259843750000\) | \([]\) | \(161280\) | \(1.9071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14700.f do not have complex multiplication.Modular form 14700.2.a.f
sage: E.q_eigenform(10)