Properties

Label 13328.ba
Number of curves $1$
Conductor $13328$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 13328.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13328.ba1 13328k1 \([0, 0, 0, -343, 2450]\) \(-7260624/17\) \(-10449152\) \([]\) \(9216\) \(0.22725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13328.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13328.ba do not have complex multiplication.

Modular form 13328.2.a.ba

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 4 q^{5} + 6 q^{9} - q^{11} + 3 q^{13} + 12 q^{15} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display