Properties

Label 115520.b
Number of curves $1$
Conductor $115520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 115520.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115520.b1 115520bh1 \([0, 0, 0, -1101772, -475301264]\) \(-11993263569/972800\) \(-11997343393198899200\) \([]\) \(6082560\) \(2.4072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115520.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 115520.b do not have complex multiplication.

Modular form 115520.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - 5 q^{7} + 6 q^{9} + 4 q^{11} - q^{13} - 3 q^{15} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display