Properties

Label 944.a
Number of curves $1$
Conductor $944$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 944.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
944.a1 944e1 \([0, 0, 0, -19, 34]\) \(-740772/59\) \(-60416\) \([]\) \(224\) \(-0.33582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 944.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 944.a do not have complex multiplication.

Modular form 944.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{5} - 3 q^{7} + 6 q^{9} - 6 q^{11} - 6 q^{13} + 9 q^{15} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display