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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 462462gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
462462.gg1 | 462462gg1 | \([1, 1, 1, -44591, -4183915]\) | \(-47045881/8736\) | \(-1820777912457504\) | \([]\) | \(2592000\) | \(1.6526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 462462gg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 462462gg do not have complex multiplication.Modular form 462462.2.a.gg
sage: E.q_eigenform(10)