Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2646.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.e1 2646n1 \([1, -1, 0, -129075, 17999477]\) \(-33268701/256\) \(-1830021227322624\) \([]\) \(16128\) \(1.7581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.e1 has rank \(1\).

Complex multiplication

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

Modular form 2646.2.a.e

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