Properties

Label 100800mk
Number of curves $1$
Conductor $100800$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("mk1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800mk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100800.hn1 100800mk1 [0, 0, 0, 28800, 5724000] [] 645120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800mk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100800mk do not have complex multiplication.

Modular form 100800.2.a.mk

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