Properties

Label 73008bb
Number of curves $1$
Conductor $73008$
CM no
Rank $0$

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

Elliptic curves in class 73008bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
73008.dm1 73008bb1 \([0, 0, 0, -2028, -43940]\) \(-3072\) \(-300266134272\) \([]\) \(112320\) \(0.91488\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 73008bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 73008bb do not have complex multiplication.

Modular form 73008.2.a.bb

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