Show commands:
SageMath
E = EllipticCurve("jg1")
E.isogeny_class()
Elliptic curves in class 202800jg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.w1 | 202800jg1 | \([0, -1, 0, -43, 142]\) | \(-133120/27\) | \(-1825200\) | \([]\) | \(27648\) | \(-0.076120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800jg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202800jg do not have complex multiplication.Modular form 202800.2.a.jg
sage: E.q_eigenform(10)