Show commands:
SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 466578dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.dq1 | 466578dq1 | \([1, -1, 1, -1197127364, 16021497262439]\) | \(-14943832855786297/85501108224\) | \(-1085561739817151473161363456\) | \([]\) | \(316293120\) | \(4.0294\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466578dq do not have complex multiplication.Modular form 466578.2.a.dq
sage: E.q_eigenform(10)