Properties

Label 45504bt
Number of curves $1$
Conductor $45504$
CM no
Rank $0$

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

Elliptic curves in class 45504bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
45504.y1 45504bt1 \([0, 0, 0, -2028, 33104]\) \(4826809/316\) \(60388540416\) \([]\) \(46080\) \(0.81846\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 45504bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 45504bt do not have complex multiplication.

Modular form 45504.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} - 4 q^{11} + 7 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display