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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 14586.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14586.g1 | 14586e1 | \([1, 0, 1, 5, 74]\) | \(18191447/2362932\) | \(-2362932\) | \([]\) | \(2400\) | \(-0.097704\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14586.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14586.g do not have complex multiplication.Modular form 14586.2.a.g
sage: E.q_eigenform(10)