Properties

Label 257600.bb
Number of curves $1$
Conductor $257600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 257600.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.bb1 257600bb1 \([0, 1, 0, -6433, 198303]\) \(-35945285000/386561\) \(-316670771200\) \([]\) \(337920\) \(1.0229\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.bb1 has rank \(2\).

Complex multiplication

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

Modular form 257600.2.a.bb

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} - 2 q^{11} - q^{13} - 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display