Properties

Label 100800.k
Number of curves 1
Conductor 100800
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("100800.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100800.k1 100800pb1 [0, 0, 0, -1217100, -517132600] [] 1376256 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.k1 has rank \(0\).

Modular form 100800.2.a.k

sage: E.q_eigenform(10)
 
\( q - q^{7} - 5q^{11} - 2q^{13} - 4q^{17} + 6q^{19} + O(q^{20}) \)