Properties

Label 257400.y
Number of curves $1$
Conductor $257400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 257400.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257400.y1 257400y1 \([0, 0, 0, -1875, -120625]\) \(-160000/1287\) \(-5863893750000\) \([]\) \(399360\) \(1.1328\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257400.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 257400.y do not have complex multiplication.

Modular form 257400.2.a.y

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - q^{11} + q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display