Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 2646.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.i1 2646m1 \([1, -1, 0, -9, -1359]\) \(-3/28\) \(-800483796\) \([]\) \(1152\) \(0.38731\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.i1 has rank \(1\).

Complex multiplication

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

Modular form 2646.2.a.i

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