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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 11830g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11830.e1 | 11830g1 | \([1, 1, 0, -33127, 12972341]\) | \(-832972004929/14611251200\) | \(-70525718793420800\) | \([]\) | \(137088\) | \(1.9140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11830g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11830g do not have complex multiplication.Modular form 11830.2.a.g
sage: E.q_eigenform(10)