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SageMath
E = EllipticCurve("gg1")
E.isogeny_class()
Elliptic curves in class 61200gg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.e1 | 61200gg1 | \([0, 0, 0, 195405, -5398670]\) | \(11053587253415/6565418768\) | \(-490105884863692800\) | \([]\) | \(967680\) | \(2.0838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200gg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61200gg do not have complex multiplication.Modular form 61200.2.a.gg
sage: E.q_eigenform(10)