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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 187200gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.pi1 | 187200gg1 | \([0, 0, 0, 11220, 3694480]\) | \(261568120/10024911\) | \(-5986844769484800\) | \([]\) | \(829440\) | \(1.7072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200gg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187200gg do not have complex multiplication.Modular form 187200.2.a.gg
sage: E.q_eigenform(10)