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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 60690.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60690.g1 | 60690k1 | \([1, 1, 0, -15178, 713812]\) | \(-1338179037945481/793618560\) | \(-229355763840\) | \([]\) | \(144144\) | \(1.1243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60690.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60690.g do not have complex multiplication.Modular form 60690.2.a.g
sage: E.q_eigenform(10)