Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ee1")
 
E.isogeny_class()
 

Elliptic curves in class 350658.ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.ee1 350658ee1 \([1, -1, 1, -2476409, 1592250905]\) \(-977077413467/71221248\) \(-122425327431097270272\) \([]\) \(10644480\) \(2.6039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658.ee1 has rank \(1\).

Complex multiplication

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

Modular form 350658.2.a.ee

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