Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.u1 51600bp1 \([0, -1, 0, -17649608, -28534422288]\) \(-9500554530751882177/199908972324\) \(-12794174228736000000\) \([]\) \(1969920\) \(2.7843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.u1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{11} - q^{13} - 4q^{17} - q^{19} + O(q^{20})\)  Toggle raw display