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SageMath
E = EllipticCurve("go1")
E.isogeny_class()
Elliptic curves in class 227850.go
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.go1 | 227850ed1 | \([1, 1, 1, -249313, 54016031]\) | \(-932288503609/148800000\) | \(-273533925000000000\) | \([]\) | \(2851200\) | \(2.0739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850.go1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850.go do not have complex multiplication.Modular form 227850.2.a.go
sage: E.q_eigenform(10)