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SageMath
E = EllipticCurve("kg1")
E.isogeny_class()
Elliptic curves in class 177450kg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.bg1 | 177450kg1 | \([1, 1, 0, -30800, -2094750]\) | \(-1223745654937/907578\) | \(-2396573156250\) | \([]\) | \(645120\) | \(1.3091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450kg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450kg do not have complex multiplication.Modular form 177450.2.a.kg
sage: E.q_eigenform(10)