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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 13650g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13650.a1 | 13650g1 | \([1, 1, 0, 4050, 1336500]\) | \(752005775/79252992\) | \(-773955000000000\) | \([]\) | \(86400\) | \(1.5363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13650g do not have complex multiplication.Modular form 13650.2.a.g
sage: E.q_eigenform(10)