Properties

Label 12880g
Number of curves $1$
Conductor $12880$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 12880g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12880.s1 12880g1 \([0, 1, 0, -2071545, 1146907475]\) \(-3840316976122235063296/27784071875\) \(-7112722400000\) \([]\) \(144000\) \(2.0625\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12880g1 has rank \(1\).

Complex multiplication

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

Modular form 12880.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} - 2 q^{9} - q^{11} + 5 q^{13} + q^{15} - 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display