Properties

Label 441864.bb
Number of curves $1$
Conductor $441864$
CM no
Rank $1$

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

Elliptic curves in class 441864.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
441864.bb1 441864bb1 \([0, 0, 0, 38988, 740772]\) \(27648/17\) \(-4029969737546496\) \([]\) \(1351296\) \(1.6835\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 441864.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 441864.bb do not have complex multiplication.

Modular form 441864.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{7} - 3 q^{11} + q^{13} + q^{17} + O(q^{20})\) Copy content Toggle raw display