Properties

Label 2646.u
Number of curves $1$
Conductor $2646$
CM no
Rank $1$

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

Elliptic curves in class 2646.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.u1 2646t1 \([1, -1, 1, -293, 2013]\) \(-33268701/256\) \(-21337344\) \([]\) \(768\) \(0.23587\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2646.u do not have complex multiplication.

Modular form 2646.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{8} - q^{10} + q^{11} - 2 q^{13} + q^{16} - 6 q^{17} - 5 q^{19} + O(q^{20})\)  Toggle raw display