Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 25230m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25230.j1 25230m1 \([1, 0, 1, -20753, -1152412]\) \(-1175277148105921/3317760\) \(-2790236160\) \([]\) \(62400\) \(1.0440\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25230m1 has rank \(1\).

Complex multiplication

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

Modular form 25230.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - 4 q^{7} - q^{8} + q^{9} - q^{10} - 5 q^{11} + q^{12} - q^{13} + 4 q^{14} + q^{15} + q^{16} - 4 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display