Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 57800x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57800.a1 | 57800x1 | \([0, 0, 0, 1445, -49130]\) | \(270\) | \(-1235843532800\) | \([]\) | \(114816\) | \(1.0031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57800x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57800x do not have complex multiplication.Modular form 57800.2.a.x
sage: E.q_eigenform(10)