Properties

Label 16096d
Number of curves $1$
Conductor $16096$
CM no
Rank $0$

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

Elliptic curves in class 16096d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16096.h1 16096d1 \([0, 0, 0, -13, 20]\) \(-3796416/503\) \(-32192\) \([]\) \(4672\) \(-0.40228\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16096d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16096d do not have complex multiplication.

Modular form 16096.2.a.d

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 4 q^{5} - 3 q^{7} + 6 q^{9} + 3 q^{11} + 7 q^{13} + 12 q^{15} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display