Properties

Label 360640.db
Number of curves $1$
Conductor $360640$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("db1")
 
E.isogeny_class()
 

Elliptic curves in class 360640.db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
360640.db1 360640db1 \([0, -1, 0, -35345, -5028743]\) \(-40535147776/67648175\) \(-8149749903948800\) \([]\) \(1474560\) \(1.7439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 360640.db1 has rank \(0\).

Complex multiplication

The elliptic curves in class 360640.db do not have complex multiplication.

Modular form 360640.2.a.db

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} + 2 q^{11} - q^{13} - q^{15} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display