Show commands:
SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 132496dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132496.da1 | 132496dw1 | \([0, 1, 0, -2760, -52753]\) | \(12544\) | \(185426694544\) | \([]\) | \(92160\) | \(0.90560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132496dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132496dw do not have complex multiplication.Modular form 132496.2.a.dw
sage: E.q_eigenform(10)