Show commands:
SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 262080.dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
262080.dw1 | 262080dw1 | \([0, 0, 0, -842988, 312619088]\) | \(-693346671296498/40610171875\) | \(-3880362350592000000\) | \([]\) | \(5990400\) | \(2.3229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 262080.dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 262080.dw do not have complex multiplication.Modular form 262080.2.a.dw
sage: E.q_eigenform(10)