Show commands:
SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 163254dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.ba1 | 163254dq1 | \([1, 1, 0, -224, -1152]\) | \(7406396257/1421952\) | \(240309888\) | \([]\) | \(67200\) | \(0.32537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163254dq do not have complex multiplication.Modular form 163254.2.a.dq
sage: E.q_eigenform(10)