Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 41280.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41280.i1 41280cc1 \([0, -1, 0, 159, 801]\) \(13481272/17415\) \(-570654720\) \([]\) \(11264\) \(0.36612\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41280.i1 has rank \(1\).

Complex multiplication

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

Modular form 41280.2.a.i

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