Show commands:
SageMath
E = EllipticCurve("ja1")
E.isogeny_class()
Elliptic curves in class 58800.ja
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ja1 | 58800ii1 | \([0, 1, 0, -4935688, -4225146892]\) | \(-1103770289367265/891813888\) | \(-10743911639993548800\) | \([]\) | \(2626560\) | \(2.5813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ja1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ja do not have complex multiplication.Modular form 58800.2.a.ja
sage: E.q_eigenform(10)