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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 45486g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45486.p1 | 45486g1 | \([1, -1, 0, -531279, -149540499]\) | \(-174562192958689/846526464\) | \(-80423407804594176\) | \([]\) | \(506880\) | \(2.0925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45486g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45486g do not have complex multiplication.Modular form 45486.2.a.g
sage: E.q_eigenform(10)