Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 5096.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5096.d1 5096g1 \([0, -1, 0, -800, -6047]\) \(614656/169\) \(15588021904\) \([]\) \(2688\) \(0.66339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5096.d1 has rank \(1\).

Complex multiplication

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

Modular form 5096.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} + 5 q^{11} + q^{13} - q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display