Properties

Label 5096.i
Number of curves $1$
Conductor $5096$
CM no
Rank $1$

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

Elliptic curves in class 5096.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5096.i1 5096c1 \([0, 1, 0, -408, 7664]\) \(-31250/91\) \(-21926008832\) \([]\) \(2304\) \(0.67122\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5096.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5096.i do not have complex multiplication.

Modular form 5096.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 3 q^{11} + q^{13} - 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display