Properties

Label 346560.bb
Number of curves $1$
Conductor $346560$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 346560.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.bb1 346560bb1 \([0, -1, 0, -36581, 47004981]\) \(-311296/54675\) \(-950862140689075200\) \([]\) \(5515776\) \(2.1290\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560.bb1 has rank \(2\).

Complex multiplication

The elliptic curves in class 346560.bb do not have complex multiplication.

Modular form 346560.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 6 q^{11} - 3 q^{13} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display