Properties

Label 33516.k
Number of curves $1$
Conductor $33516$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 33516.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33516.k1 33516u1 \([0, 0, 0, -9408, -352604]\) \(-4194304/19\) \(-417166412544\) \([]\) \(47520\) \(1.0813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33516.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33516.k do not have complex multiplication.

Modular form 33516.2.a.k

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