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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 84150g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.f1 | 84150g1 | \([1, -1, 0, -26547, 1671651]\) | \(-3065317685686755/343605394\) | \(-231933640950\) | \([]\) | \(209280\) | \(1.2091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 84150g do not have complex multiplication.Modular form 84150.2.a.g
sage: E.q_eigenform(10)