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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6690.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6690.g1 | 6690h1 | \([1, 1, 1, -11691, -502887]\) | \(-176718092619989809/4877010000000\) | \(-4877010000000\) | \([]\) | \(24696\) | \(1.2156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6690.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6690.g do not have complex multiplication.Modular form 6690.2.a.g
sage: E.q_eigenform(10)