Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bx1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 115920.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.bx1 115920ce1 \([0, 0, 0, -198931248, -1118670254928]\) \(-10798949077834033410048/456193409500390625\) \(-36779027985187588800000000\) \([]\) \(29030400\) \(3.6721\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.bx1 has rank \(1\).

Complex multiplication

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

Modular form 115920.2.a.bx

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + q^{11} + 4 q^{13} - q^{19} + O(q^{20})\)  Toggle raw display