Properties

Label 466578.be
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

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

Elliptic curves in class 466578.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.be1 466578be1 \([1, -1, 0, -143477595, 663776258949]\) \(-25727239787761/101406816\) \(-1287507985485708142334304\) \([]\) \(72990720\) \(3.4838\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 466578.be do not have complex multiplication.

Modular form 466578.2.a.be

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