Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 5586.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5586.q1 | 5586n1 | \([1, 0, 1, -24389923, 46360136414]\) | \(-668286694038078762077641/413929046016\) | \(-993843639484416\) | \([]\) | \(255360\) | \(2.6332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5586.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5586.q do not have complex multiplication.Modular form 5586.2.a.q
sage: E.q_eigenform(10)