Properties

Label 155952.e
Number of curves $1$
Conductor $155952$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 155952.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155952.e1 155952cp1 \([0, 0, 0, -4332, 137180]\) \(-3072\) \(-2926630165248\) \([]\) \(344736\) \(1.1046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155952.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 155952.e do not have complex multiplication.

Modular form 155952.2.a.e

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