Properties

Label 254898.k
Number of curves $1$
Conductor $254898$
CM no
Rank $2$

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

Elliptic curves in class 254898.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254898.k1 254898k1 \([1, -1, 0, 124794, 20317716]\) \(30004847/42336\) \(-303264291522247776\) \([]\) \(3317760\) \(2.0401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254898.k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 254898.k do not have complex multiplication.

Modular form 254898.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} - q^{11} - 4 q^{13} + q^{16} + O(q^{20})\) Copy content Toggle raw display