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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 73638.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73638.g1 | 73638g1 | \([1, -1, 1, -356, -2541]\) | \(-6826561273/147276\) | \(-107364204\) | \([]\) | \(79872\) | \(0.33074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73638.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 73638.g do not have complex multiplication.Modular form 73638.2.a.g
sage: E.q_eigenform(10)