Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 118354.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.k1 | 118354f1 | \([1, -1, 0, -51127, 7796189]\) | \(-1219751537625/1453933568\) | \(-17617837913474048\) | \([]\) | \(1392000\) | \(1.8112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118354.k do not have complex multiplication.Modular form 118354.2.a.k
sage: E.q_eigenform(10)