Properties

Label 5296.d
Number of curves $1$
Conductor $5296$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 5296.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5296.d1 5296f1 \([0, -1, 0, 3, -4]\) \(131072/331\) \(-5296\) \([]\) \(432\) \(-0.60164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5296.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5296.d do not have complex multiplication.

Modular form 5296.2.a.d

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 3 q^{5} + 4 q^{7} + q^{9} + 2 q^{11} - 6 q^{13} - 6 q^{15} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display