Properties

Label 332820k
Number of curves $1$
Conductor $332820$
CM no
Rank $1$

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

Elliptic curves in class 332820k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
332820.k1 332820k1 \([0, 0, 0, -77302992, 262521619076]\) \(-43304636317696/176326875\) \(-208015998487653869280000\) \([]\) \(45416448\) \(3.3305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 332820k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 332820k do not have complex multiplication.

Modular form 332820.2.a.k

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