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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6042.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6042.g1 | 6042g1 | \([1, 0, 1, -3094, 65768]\) | \(3274031454654169/11416769856\) | \(11416769856\) | \([]\) | \(5280\) | \(0.79251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6042.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6042.g do not have complex multiplication.Modular form 6042.2.a.g
sage: E.q_eigenform(10)