Properties

Label 25230j
Number of curves $1$
Conductor $25230$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 25230j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25230.m1 25230j1 \([1, 0, 1, -1323, 18028]\) \(304183240801/7031250\) \(5913281250\) \([]\) \(19200\) \(0.66114\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25230j1 has rank \(1\).

Complex multiplication

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

Modular form 25230.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + q^{12} + 4 q^{13} - q^{14} + q^{15} + q^{16} + q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display