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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 236992.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.x1 | 236992x1 | \([0, -1, 0, 11991, 4368913]\) | \(1257728/55223\) | \(-8371185559804928\) | \([]\) | \(811008\) | \(1.7351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 236992.x do not have complex multiplication.Modular form 236992.2.a.x
sage: E.q_eigenform(10)