Properties

Label 142912bo
Number of curves $1$
Conductor $142912$
CM no
Rank $1$

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

Elliptic curves in class 142912bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.v1 142912bo1 \([0, -1, 0, -76097, 8012137]\) \(47591793317892352/630767231017\) \(645905644561408\) \([]\) \(619520\) \(1.6491\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142912bo do not have complex multiplication.

Modular form 142912.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - q^{7} - 2 q^{9} - q^{11} + q^{13} - 2 q^{15} + 8 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display