Properties

Label 5445b
Number of curves $1$
Conductor $5445$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 5445b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5445.a1 5445b1 \([0, 0, 1, -33, 74]\) \(-1216512/25\) \(-81675\) \([]\) \(960\) \(-0.26592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5445b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 5445b do not have complex multiplication.

Modular form 5445.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{5} - 3 q^{7} + 2 q^{10} - 2 q^{13} + 6 q^{14} - 4 q^{16} - 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display