Properties

Label 397800.bf
Number of curves $1$
Conductor $397800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 397800.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.bf1 397800bf1 \([0, 0, 0, 1485, 90990]\) \(359370/3757\) \(-3786190387200\) \([]\) \(576000\) \(1.0946\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 397800.bf do not have complex multiplication.

Modular form 397800.2.a.bf

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} - q^{13} + q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display