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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 364650.gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364650.gg1 | 364650gg1 | \([1, 0, 0, -1288, 56192]\) | \(-15124197817/78881088\) | \(-1232517000000\) | \([]\) | \(626688\) | \(1.0042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.gg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364650.gg do not have complex multiplication.Modular form 364650.2.a.gg
sage: E.q_eigenform(10)