Properties

Label 134640bt
Number of curves $1$
Conductor $134640$
CM no
Rank $1$

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

Elliptic curves in class 134640bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.c1 134640bt1 \([0, 0, 0, 717, -9358]\) \(13651919/20570\) \(-61421690880\) \([]\) \(92160\) \(0.75546\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134640bt do not have complex multiplication.

Modular form 134640.2.a.bt

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