Properties

Label 25230f
Number of curves $1$
Conductor $25230$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 25230f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25230.c1 25230f1 \([1, 1, 0, 1753468, -472141584]\) \(1417218719/1049760\) \(-441641625229219001760\) \([]\) \(1392000\) \(2.6497\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25230f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25230f do not have complex multiplication.

Modular form 25230.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 4 q^{7} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - q^{13} + 4 q^{14} - q^{15} + q^{16} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display