Properties

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

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Show commands: SageMath
E = EllipticCurve("dv1")
 
E.isogeny_class()
 

Elliptic curves in class 257600.dv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.dv1 257600dv1 \([0, 0, 0, 1472500, 164950000]\) \(137927116575/84410368\) \(-216090542080000000000\) \([]\) \(7004160\) \(2.5910\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.dv1 has rank \(1\).

Complex multiplication

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

Modular form 257600.2.a.dv

sage: E.q_eigenform(10)
 
\(q + q^{7} - 3 q^{9} + 4 q^{11} + q^{13} - 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display