Properties

Label 317400.bf
Number of curves $1$
Conductor $317400$
CM no
Rank $0$

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

Elliptic curves in class 317400.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317400.bf1 317400bf1 \([0, -1, 0, -2662633, -1675229363]\) \(-3525581824/9315\) \(-5515817224140000000\) \([]\) \(9732096\) \(2.4712\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317400.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 317400.bf do not have complex multiplication.

Modular form 317400.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} + 6 q^{11} + 2 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display