Properties

Label 13552.bc
Number of curves $1$
Conductor $13552$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 13552.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.bc1 13552t1 \([0, 0, 0, 3872, 21296]\) \(884736/539\) \(-3911153168384\) \([]\) \(34560\) \(1.1054\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13552.bc do not have complex multiplication.

Modular form 13552.2.a.bc

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} - q^{7} + 6 q^{9} + 4 q^{13} - 3 q^{15} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display