Show commands:
SageMath
E = EllipticCurve("hg1")
E.isogeny_class()
Elliptic curves in class 206400.hg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.hg1 | 206400gu1 | \([0, 1, 0, 109639167, 428298170463]\) | \(56935209711531575/63898719879168\) | \(-163580722890670080000000000\) | \([]\) | \(58291200\) | \(3.7164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.hg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400.hg do not have complex multiplication.Modular form 206400.2.a.hg
sage: E.q_eigenform(10)