Properties

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

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 12480br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12480.w1 12480br1 \([0, -1, 0, -1381, 20221]\) \(-17790954496/195\) \(-3194880\) \([]\) \(7680\) \(0.40232\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12480br1 has rank \(0\).

Complex multiplication

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

Modular form 12480.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 5 q^{7} + q^{9} + q^{11} - q^{13} + q^{15} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display