Properties

Label 147294bi
Number of curves $1$
Conductor $147294$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 147294bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147294.cr1 147294bi1 \([1, -1, 1, 248494, 15099473]\) \(19785968032823/12608077824\) \(-1081345928230600704\) \([]\) \(2914560\) \(2.1494\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147294bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 147294bi do not have complex multiplication.

Modular form 147294.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} + q^{8} + 3 q^{10} - 6 q^{11} - 2 q^{13} + q^{16} + O(q^{20})\) Copy content Toggle raw display