Properties

Label 100672.bo
Number of curves $1$
Conductor $100672$
CM no
Rank $2$

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

Elliptic curves in class 100672.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100672.bo1 100672r1 \([0, -1, 0, -7905, 285793]\) \(-235298/13\) \(-3018626564096\) \([]\) \(179200\) \(1.1525\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100672.bo1 has rank \(2\).

Complex multiplication

The elliptic curves in class 100672.bo do not have complex multiplication.

Modular form 100672.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 5 q^{7} - 2 q^{9} - q^{13} - q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display