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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 350658g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.g1 | 350658g1 | \([1, -1, 0, -299976, -63163072]\) | \(-33843179482786377/26543104\) | \(-2341340660736\) | \([]\) | \(2396160\) | \(1.6803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658g do not have complex multiplication.Modular form 350658.2.a.g
sage: E.q_eigenform(10)