Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 25857g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25857.i1 25857g1 \([1, -1, 1, 7573, 1333518]\) \(2307174311/38336139\) \(-798195561698691\) \([]\) \(86400\) \(1.5400\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25857g1 has rank \(0\).

Complex multiplication

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

Modular form 25857.2.a.g

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