Properties

Label 25050w
Number of curves $1$
Conductor $25050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 25050w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25050.x1 25050w1 \([1, 0, 0, 14087, 205817]\) \(19785968032823/12608077824\) \(-197001216000000\) \([]\) \(119232\) \(1.4318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25050w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25050w do not have complex multiplication.

Modular form 25050.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - 3 q^{7} + q^{8} + q^{9} + 6 q^{11} + q^{12} - 2 q^{13} - 3 q^{14} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display