Properties

Label 47775.be
Number of curves $1$
Conductor $47775$
CM no
Rank $0$

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

Elliptic curves in class 47775.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47775.be1 47775cq1 \([1, 0, 0, 8124402, -11887136703]\) \(48412981936758748562855/77853743274432041397\) \(-95370835511179250711325\) \([]\) \(3818880\) \(3.0945\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47775.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47775.be do not have complex multiplication.

Modular form 47775.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + 3 q^{8} + q^{9} - q^{12} + q^{13} - q^{16} + 2 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display