Properties

Label 344800k
Number of curves $1$
Conductor $344800$
CM no
Rank $0$

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

Elliptic curves in class 344800k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344800.k1 344800k1 \([0, 0, 0, -25, -1000]\) \(-1728/431\) \(-431000000\) \([]\) \(324864\) \(0.33604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344800k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 344800k do not have complex multiplication.

Modular form 344800.2.a.k

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