Properties

Label 38025k
Number of curves $1$
Conductor $38025$
CM no
Rank $1$

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

Elliptic curves in class 38025k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38025.z1 38025k1 \([1, -1, 1, -110, 82]\) \(1755\) \(83160675\) \([]\) \(8640\) \(0.20951\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38025k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38025k do not have complex multiplication.

Modular form 38025.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 2 q^{7} + 3 q^{8} + q^{11} - 2 q^{14} - q^{16} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display