Properties

Label 190608bo
Number of curves $1$
Conductor $190608$
CM no
Rank $0$

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

Elliptic curves in class 190608bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.n1 190608bo1 \([0, -1, 0, -18922296, -31823760528]\) \(-3888335020909249/21120891264\) \(-4069994238034262360064\) \([]\) \(10160640\) \(2.9904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190608bo do not have complex multiplication.

Modular form 190608.2.a.bo

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