Properties

Label 28611l
Number of curves $1$
Conductor $28611$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 28611l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28611.t1 28611l1 \([1, -1, 0, -24954048, 47988799839]\) \(-337930850201473/21434787\) \(-109002904810483548843\) \([]\) \(1723392\) \(2.9031\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28611l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28611l do not have complex multiplication.

Modular form 28611.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 2 q^{5} - 3 q^{7} - 3 q^{8} - 2 q^{10} - q^{11} - 5 q^{13} - 3 q^{14} - q^{16} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display