Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 41280.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
41280.b1 41280ca1 \([0, -1, 0, -72001, 7460335]\) \(-645008376471556096/783675\) \(-50155200\) \([]\) \(92160\) \(1.1890\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 41280.b1 has rank \(2\).

Complex multiplication

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

Modular form 41280.2.a.b

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