Properties

Label 283220.bo
Number of curves $1$
Conductor $283220$
CM no
Rank $2$

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

Elliptic curves in class 283220.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283220.bo1 283220bo1 \([0, -1, 0, -2567861, 1583906801]\) \(8912896/5\) \(1050484335585547520\) \([]\) \(9253440\) \(2.4051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283220.bo1 has rank \(2\).

Complex multiplication

The elliptic curves in class 283220.bo do not have complex multiplication.

Modular form 283220.2.a.bo

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} + q^{9} - 5 q^{11} - 6 q^{13} - 2 q^{15} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display