Properties

Label 12480bo
Number of curves $1$
Conductor $12480$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 12480bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12480.e1 12480bo1 \([0, -1, 0, 779, 1567021]\) \(3186827264/64769371875\) \(-1061181388800000\) \([]\) \(49920\) \(1.5621\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12480bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12480bo do not have complex multiplication.

Modular form 12480.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + q^{11} - q^{13} + q^{15} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display