Properties

Label 12880.o
Number of curves $1$
Conductor $12880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 12880.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12880.o1 12880c1 \([0, 1, 0, -936, -11365]\) \(-5674076449024/14904575\) \(-238473200\) \([]\) \(5376\) \(0.48277\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12880.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12880.o do not have complex multiplication.

Modular form 12880.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} - 2 q^{9} + 2 q^{11} - 5 q^{13} - q^{15} - 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display