Properties

Label 51600.bt
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

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

Elliptic curves in class 51600.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.bt1 51600n1 \([0, -1, 0, 137592, -110552688]\) \(9002230481662/170068359375\) \(-5442187500000000000\) \([]\) \(1013760\) \(2.2755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.bt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600.bt do not have complex multiplication.

Modular form 51600.2.a.bt

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