Properties

Label 257600bu
Number of curves $1$
Conductor $257600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bu1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 257600bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.bu1 257600bu1 \([0, -1, 0, -347333, 196275037]\) \(-144814859264/435654247\) \(-13940935904000000000\) \([]\) \(4157440\) \(2.3602\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257600bu do not have complex multiplication.

Modular form 257600.2.a.bu

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