Properties

Label 114444.q
Number of curves $1$
Conductor $114444$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 114444.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
114444.q1 114444c1 \([0, 0, 0, -5923344, 226464715348]\) \(-5102271397888/4915446963867\) \(-22142366578369377250935552\) \([]\) \(37158912\) \(3.5423\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 114444.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 114444.q do not have complex multiplication.

Modular form 114444.2.a.q

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 5 q^{7} - q^{11} + 6 q^{13} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display