Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("em1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 115920.em

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.em1 115920cp1 \([0, 0, 0, -22103472, 41432231664]\) \(-10798949077834033410048/456193409500390625\) \(-50451341543467200000000\) \([]\) \(9676800\) \(3.1227\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.em1 has rank \(1\).

Complex multiplication

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

Modular form 115920.2.a.em

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