Properties

Label 397800.de
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("de1")
 
E.isogeny_class()
 

Elliptic curves in class 397800.de

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.de1 397800de1 \([0, 0, 0, -660, -19100]\) \(-1362944/5967\) \(-139198176000\) \([]\) \(301056\) \(0.82321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.de1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800.de do not have complex multiplication.

Modular form 397800.2.a.de

sage: E.q_eigenform(10)
 
\(q + 2 q^{7} - q^{13} - q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display