Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 286650g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.g1 | 286650g1 | \([1, -1, 0, -769407, 259960301]\) | \(-8527053024063/70304\) | \(-415311063804000\) | \([]\) | \(5114880\) | \(1.9753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286650g do not have complex multiplication.Modular form 286650.2.a.g
sage: E.q_eigenform(10)