Properties

Label 41280.q
Number of curves $1$
Conductor $41280$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 41280.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41280.q1 41280bz1 \([0, -1, 0, -2881, -108575]\) \(-10091699281/13932000\) \(-3652190208000\) \([]\) \(92160\) \(1.1030\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41280.q1 has rank \(2\).

Complex multiplication

The elliptic curves in class 41280.q do not have complex multiplication.

Modular form 41280.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - 4 q^{11} + 5 q^{13} + q^{15} - 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display