Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 160446x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.bc1 | 160446x1 | \([1, 1, 1, 60164888, 15039928553]\) | \(10214541635172355837/5952497079140352\) | \(-14035676743443237263327232\) | \([]\) | \(38586240\) | \(3.5147\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446x do not have complex multiplication.Modular form 160446.2.a.x
sage: E.q_eigenform(10)