Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("bw1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.bw1 51600bu1 \([0, -1, 0, -7200133, 7438734637]\) \(-645008376471556096/783675\) \(-50155200000000\) \([]\) \(1105920\) \(2.3403\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.bw1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.bw

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