Properties

Label 412224.be
Number of curves $1$
Conductor $412224$
CM no
Rank $0$

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

Elliptic curves in class 412224.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.be1 412224be1 \([0, -1, 0, -417, 1857]\) \(30664297/12882\) \(3376939008\) \([]\) \(190464\) \(0.52530\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 412224.be do not have complex multiplication.

Modular form 412224.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + q^{7} + q^{9} + 3 q^{11} - 6 q^{13} - 2 q^{15} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display