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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 550.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
550.g1 | 550e1 | \([1, -1, 0, -367, 10541]\) | \(-2803221/22528\) | \(-44000000000\) | \([]\) | \(880\) | \(0.72511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 550.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 550.g do not have complex multiplication.Modular form 550.2.a.g
sage: E.q_eigenform(10)