Properties

Label 57960bt
Number of curves $1$
Conductor $57960$
CM no
Rank $0$

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

Elliptic curves in class 57960bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57960.be1 57960bt1 \([0, 0, 0, -8427, -298429]\) \(-5674076449024/14904575\) \(-173846962800\) \([]\) \(80640\) \(1.0321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57960bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 57960bt do not have complex multiplication.

Modular form 57960.2.a.bt

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} + 2 q^{11} - 5 q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display