Properties

Label 126350.x
Number of curves $1$
Conductor $126350$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 126350.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126350.x1 126350a1 \([1, -1, 0, 23578, 380996]\) \(179685/112\) \(-903525553781200\) \([]\) \(437760\) \(1.5589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126350.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126350.x do not have complex multiplication.

Modular form 126350.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 3 q^{9} + 3 q^{13} + q^{14} + q^{16} + 3 q^{18} + O(q^{20})\) Copy content Toggle raw display