Properties

Label 3528.p
Number of curves $1$
Conductor $3528$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3528.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3528.p1 3528t1 [0, 0, 0, -147, -637] [] 720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3528.p do not have complex multiplication.

Modular form 3528.2.a.p

sage: E.q_eigenform(10)
 
\( q + q^{5} - 3q^{11} - 6q^{13} + 5q^{17} + q^{19} + O(q^{20}) \)