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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 14700.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14700.j1 | 14700c1 | \([0, -1, 0, 51042, 2087037]\) | \(800000/567\) | \(-10422966093750000\) | \([]\) | \(69120\) | \(1.7620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14700.j do not have complex multiplication.Modular form 14700.2.a.j
sage: E.q_eigenform(10)