Properties

Label 25857.m
Number of curves $1$
Conductor $25857$
CM no
Rank $0$

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

Elliptic curves in class 25857.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25857.m1 25857c1 \([1, -1, 0, 1279890, 2933579299]\) \(2307174311/38336139\) \(-3852737520967297007019\) \([]\) \(1123200\) \(2.8225\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25857.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25857.m do not have complex multiplication.

Modular form 25857.2.a.m

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