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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 55470.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.g1 | 55470f1 | \([1, 0, 1, -110979, -122464844]\) | \(-12932809/546750\) | \(-6390523501778346750\) | \([]\) | \(1061928\) | \(2.2885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55470.g do not have complex multiplication.Modular form 55470.2.a.g
sage: E.q_eigenform(10)