Properties

Label 115920.by
Number of curves $1$
Conductor $115920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 115920.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.by1 115920y1 \([0, 0, 0, -18643908, -30985145732]\) \(-3840316976122235063296/27784071875\) \(-5185174629600000\) \([]\) \(4320000\) \(2.6118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.by1 has rank \(0\).

Complex multiplication

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

Modular form 115920.2.a.by

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + q^{11} + 5 q^{13} + 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display