Properties

Label 13475.w
Number of curves $1$
Conductor $13475$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 13475.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13475.w1 13475w1 \([0, 0, 1, -6125, 160781]\) \(552960/77\) \(3538661328125\) \([]\) \(28800\) \(1.1343\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13475.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13475.w do not have complex multiplication.

Modular form 13475.2.a.w

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - 3 q^{9} + q^{11} + 3 q^{13} - 4 q^{16} + 3 q^{17} - 6 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display