Properties

Label 31200.bo
Number of curves $1$
Conductor $31200$
CM no
Rank $0$

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

Elliptic curves in class 31200.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.bo1 31200cf1 \([0, 1, 0, -490833, -132789537]\) \(-326938350400/767637\) \(-30705480000000000\) \([]\) \(460800\) \(2.0439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 31200.bo do not have complex multiplication.

Modular form 31200.2.a.bo

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3q^{7} + q^{9} + 3q^{11} + q^{13} + 7q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display