Properties

Label 257600.m
Number of curves $1$
Conductor $257600$
CM no
Rank $0$

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

Elliptic curves in class 257600.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.m1 257600m1 \([0, 1, 0, -833, 690463]\) \(-50/161\) \(-206080000000000\) \([]\) \(737280\) \(1.4256\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 257600.m do not have complex multiplication.

Modular form 257600.2.a.m

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