Properties

Label 5472.r
Number of curves $1$
Conductor $5472$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 5472.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5472.r1 5472d1 \([0, 0, 0, 168, -3152]\) \(175616/1539\) \(-4595429376\) \([]\) \(2048\) \(0.53533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5472.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5472.r do not have complex multiplication.

Modular form 5472.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} + 3 q^{11} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display