Properties

Label 190440bg
Number of curves $1$
Conductor $190440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 190440bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190440.e1 190440bg1 \([0, 0, 0, -958548, 362041252]\) \(-3525581824/9315\) \(-257345968409475840\) \([]\) \(3244032\) \(2.2158\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190440bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 190440bg do not have complex multiplication.

Modular form 190440.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 6 q^{11} - 2 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display