Properties

Label 254100.k
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

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

Elliptic curves in class 254100.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.k1 254100k1 \([0, -1, 0, -64533, -7644063]\) \(-4194304/1155\) \(-8184611820000000\) \([]\) \(1382400\) \(1.7693\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254100.k do not have complex multiplication.

Modular form 254100.2.a.k

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