Properties

Label 115920.ef
Number of curves $1$
Conductor $115920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ef1")
 
E.isogeny_class()
 

Elliptic curves in class 115920.ef

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.ef1 115920bx1 \([0, 0, 0, -8427, 298429]\) \(-5674076449024/14904575\) \(-173846962800\) \([]\) \(161280\) \(1.0321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.ef1 has rank \(1\).

Complex multiplication

The elliptic curves in class 115920.ef do not have complex multiplication.

Modular form 115920.2.a.ef

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