Properties

Label 211600.bo
Number of curves $1$
Conductor $211600$
CM no
Rank $2$

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

Elliptic curves in class 211600.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.bo1 211600dh1 \([0, -1, 0, -57308, 5482987]\) \(-562432/23\) \(-851206361750000\) \([]\) \(1081344\) \(1.6323\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.bo1 has rank \(2\).

Complex multiplication

The elliptic curves in class 211600.bo do not have complex multiplication.

Modular form 211600.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{7} - 2 q^{9} - 2 q^{11} - 7 q^{13} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display