Properties

Label 344760.bo
Number of curves $1$
Conductor $344760$
CM no
Rank $0$

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

Elliptic curves in class 344760.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.bo1 344760bo1 \([0, 1, 0, -2255361, -12068144685]\) \(-1026767289066496/50316682419315\) \(-62174467981233002453760\) \([]\) \(35642880\) \(3.0537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 344760.bo do not have complex multiplication.

Modular form 344760.2.a.bo

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{7} + q^{9} + 6 q^{11} - q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display