Properties

Label 67620bb
Number of curves $1$
Conductor $67620$
CM no
Rank $2$

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

Elliptic curves in class 67620bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67620.bb1 67620bb1 \([0, 1, 0, -55141, 4972295]\) \(-615640662016/978075\) \(-29457803692800\) \([]\) \(253440\) \(1.4825\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67620bb1 has rank \(2\).

Complex multiplication

The elliptic curves in class 67620bb do not have complex multiplication.

Modular form 67620.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} - q^{11} - 4 q^{13} - q^{15} - 6 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display