Properties

Label 83391.l
Number of curves $1$
Conductor $83391$
CM no
Rank $1$

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

Elliptic curves in class 83391.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83391.l1 83391n1 \([0, 1, 1, -1583, -24769]\) \(1216000000000/505197\) \(182376117\) \([]\) \(31104\) \(0.54695\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83391.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 83391.l do not have complex multiplication.

Modular form 83391.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{7} + q^{9} - q^{11} - 2 q^{12} + 3 q^{13} + 4 q^{16} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display