Properties

Label 44880bo
Number of curves $1$
Conductor $44880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 44880bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44880.q1 44880bo1 \([0, -1, 0, -45816, 4604016]\) \(-2596717791529849/718080000000\) \(-2941255680000000\) \([]\) \(338688\) \(1.6839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44880bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 44880bo do not have complex multiplication.

Modular form 44880.2.a.bo

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