Properties

Label 476850.bb
Number of curves $1$
Conductor $476850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 476850.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.bb1 476850bb1 \([1, 1, 0, -33844349425, 2397249848039125]\) \(-39334245666480232823953/14521637786211072\) \(-1582803481916697698446668000000\) \([]\) \(2105671680\) \(4.7624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 476850.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 476850.bb do not have complex multiplication.

Modular form 476850.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - q^{11} - q^{12} - 7 q^{13} + q^{14} + q^{16} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display