Properties

Label 3528.z
Number of curves $1$
Conductor $3528$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 3528.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3528.z1 3528n1 \([0, 0, 0, -12348, -528220]\) \(-5225472\) \(-39846304512\) \([]\) \(6720\) \(1.0348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3528.z1 has rank \(0\).

Complex multiplication

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

Modular form 3528.2.a.z

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} - 3 q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display