Properties

Label 350658.k
Number of curves $1$
Conductor $350658$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 350658.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.k1 350658k1 \([1, -1, 0, -26703, 1834861]\) \(-197294400193/21102592\) \(-225234063065088\) \([]\) \(1253376\) \(1.4925\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 350658.k do not have complex multiplication.

Modular form 350658.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{7} - q^{8} + 2 q^{10} + 3 q^{13} + q^{14} + q^{16} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display