Show commands:
SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 350658ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.ds1 | 350658ds1 | \([1, -1, 1, -126347, 171151643]\) | \(-172715635009/9694992384\) | \(-12520772123634948096\) | \([]\) | \(6758400\) | \(2.3444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658ds do not have complex multiplication.Modular form 350658.2.a.ds
sage: E.q_eigenform(10)