Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 2790.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2790.x1 | 2790s1 | \([1, -1, 1, -2, 9]\) | \(-19683/1240\) | \(-33480\) | \([]\) | \(288\) | \(-0.45197\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2790.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2790.x do not have complex multiplication.Modular form 2790.2.a.x
sage: E.q_eigenform(10)