Show commands:
SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 38808.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.cq1 | 38808ca1 | \([0, 0, 0, -53508, -5016620]\) | \(-37811178496/2381643\) | \(-1067176655500032\) | \([]\) | \(317952\) | \(1.6374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808.cq do not have complex multiplication.Modular form 38808.2.a.cq
sage: E.q_eigenform(10)