Properties

Label 5796.e
Number of curves $1$
Conductor $5796$
CM no
Rank $1$

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

Elliptic curves in class 5796.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5796.e1 5796g1 \([0, 0, 0, 15, 173]\) \(32000/1127\) \(-13145328\) \([]\) \(720\) \(0.045894\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5796.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5796.e do not have complex multiplication.

Modular form 5796.2.a.e

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