Properties

Label 11760bt
Number of curves $1$
Conductor $11760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 11760bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11760.bb1 11760bt1 \([0, -1, 0, -28240, 1857472]\) \(-105484561/1440\) \(-34002179850240\) \([]\) \(40320\) \(1.4033\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11760bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11760bt do not have complex multiplication.

Modular form 11760.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + q^{11} + 7 q^{13} - q^{15} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display