Properties

Label 104544.be
Number of curves $1$
Conductor $104544$
CM no
Rank $1$

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

Elliptic curves in class 104544.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104544.be1 104544x1 \([0, 0, 0, -2904, -63888]\) \(-13824\) \(-195920474112\) \([]\) \(103680\) \(0.91634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104544.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 104544.be do not have complex multiplication.

Modular form 104544.2.a.be

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