Properties

Label 2736.u
Number of curves $1$
Conductor $2736$
CM no
Rank $0$

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

Elliptic curves in class 2736.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2736.u1 2736g1 \([0, 0, 0, -516, 5132]\) \(-81415168/13851\) \(-2584929024\) \([]\) \(1536\) \(0.53263\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2736.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2736.u do not have complex multiplication.

Modular form 2736.2.a.u

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 3 q^{7} - q^{11} - 2 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display