Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 238260.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.x1 | 238260x1 | \([0, 1, 0, -3730, 158225]\) | \(-2753165056/3675375\) | \(-7663656726000\) | \([]\) | \(583200\) | \(1.1651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260.x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 238260.x do not have complex multiplication.Modular form 238260.2.a.x
sage: E.q_eigenform(10)