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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 200400.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.g1 | 200400cq1 | \([0, -1, 0, -31913833, 71442138037]\) | \(-35946832672131005440/1240058563885683\) | \(-124005856388568300000000\) | \([]\) | \(29153280\) | \(3.2045\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200400.g do not have complex multiplication.Modular form 200400.2.a.g
sage: E.q_eigenform(10)