Properties

Label 424536ds
Number of curves $1$
Conductor $424536$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 424536ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424536.ds1 424536ds1 \([0, 1, 0, 14320, -1485408]\) \(68782/243\) \(-1147239024777216\) \([]\) \(1658880\) \(1.5726\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424536ds1 has rank \(1\).

Complex multiplication

The elliptic curves in class 424536ds do not have complex multiplication.

Modular form 424536.2.a.ds

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} + 3 q^{11} + 4 q^{13} + q^{15} + O(q^{20})\) Copy content Toggle raw display