Properties

Label 147294.be
Number of curves $1$
Conductor $147294$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 147294.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147294.be1 147294cq1 \([1, -1, 0, -22185, -1310387]\) \(-4829379946327/197001216\) \(-49259563057152\) \([]\) \(765952\) \(1.3950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147294.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 147294.be do not have complex multiplication.

Modular form 147294.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 4 q^{5} - q^{8} - 4 q^{10} + 3 q^{11} - 4 q^{13} + q^{16} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display