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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 63175g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.q1 | 63175g1 | \([1, -1, 0, -742, 2041]\) | \(12825/7\) | \(24677734375\) | \([]\) | \(109080\) | \(0.68489\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63175g do not have complex multiplication.Modular form 63175.2.a.g
sage: E.q_eigenform(10)