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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 13167.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13167.g1 | 13167n1 | \([0, 0, 1, -48, -95]\) | \(16777216/4389\) | \(3199581\) | \([]\) | \(1664\) | \(-0.042910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13167.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13167.g do not have complex multiplication.Modular form 13167.2.a.g
sage: E.q_eigenform(10)