Properties

Label 268770bb
Number of curves $1$
Conductor $268770$
CM no
Rank $1$

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

Elliptic curves in class 268770bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
268770.bb1 268770bb1 \([1, 0, 1, -58818, -6206444]\) \(-932288503609/148800000\) \(-3591670267200000\) \([]\) \(1774080\) \(1.7129\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 268770bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 268770bb do not have complex multiplication.

Modular form 268770.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 3 q^{7} - q^{8} + q^{9} - q^{10} - 3 q^{11} + q^{12} - 2 q^{13} - 3 q^{14} + q^{15} + q^{16} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display