Properties

Label 473200.bb
Number of curves $1$
Conductor $473200$
CM no
Rank $0$

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

Elliptic curves in class 473200.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
473200.bb1 473200bb1 \([0, 1, 0, -119708, 37746463]\) \(-6288640/16807\) \(-507026117893750000\) \([]\) \(5184000\) \(2.0848\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 473200.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 473200.bb do not have complex multiplication.

Modular form 473200.2.a.bb

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