Properties

Label 89280bp
Number of curves $1$
Conductor $89280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 89280bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
89280.t1 89280bp1 \([0, 0, 0, -2164908, 1226186768]\) \(-46974761601263432/6178001625\) \(-147579312033792000\) \([]\) \(1357824\) \(2.3144\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 89280bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 89280bp do not have complex multiplication.

Modular form 89280.2.a.bp

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 5 q^{11} - 2 q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display