Properties

Label 257600.bl
Number of curves $1$
Conductor $257600$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bl1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 257600.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.bl1 257600bl1 \([0, -1, 0, -13893, -1564643]\) \(-144814859264/435654247\) \(-892219897856000\) \([]\) \(831488\) \(1.5555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.bl1 has rank \(0\).

Complex multiplication

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

Modular form 257600.2.a.bl

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