Properties

Label 5400.br
Number of curves $1$
Conductor $5400$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("br1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5400.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5400.br1 5400bf1 \([0, 0, 0, -41175, 3351375]\) \(-1568892672/78125\) \(-384433593750000\) \([]\) \(24192\) \(1.5597\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5400.br1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5400.br do not have complex multiplication.

Modular form 5400.2.a.br

sage: E.q_eigenform(10)
 
\(q + 4 q^{7} - 2 q^{11} - 4 q^{13} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display