Properties

Label 21675.n
Number of curves $1$
Conductor $21675$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 21675.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21675.n1 21675s1 \([0, 1, 1, -327533, 71328344]\) \(35651584/405\) \(44143465056328125\) \([]\) \(235008\) \(2.0072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21675.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21675.n do not have complex multiplication.

Modular form 21675.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - 2 q^{7} + q^{9} + 5 q^{11} - 2 q^{12} - 4 q^{13} + 4 q^{16} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display