Properties

Label 78400.cw
Number of curves $1$
Conductor $78400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cw1")
 
E.isogeny_class()
 

Elliptic curves in class 78400.cw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.cw1 78400fe1 \([0, -1, 0, -28583, 3900037]\) \(-512\) \(-5044200875000000\) \([]\) \(358400\) \(1.7027\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400.cw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 78400.cw do not have complex multiplication.

Modular form 78400.2.a.cw

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