Properties

Label 103056.bf
Number of curves $1$
Conductor $103056$
CM no
Rank $0$

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

Elliptic curves in class 103056.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.bf1 103056z1 \([0, 1, 0, -4866232, 4162350932]\) \(-3111302831921821954873/28165508381540352\) \(-115365922330789281792\) \([]\) \(3888000\) \(2.6725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 103056.bf do not have complex multiplication.

Modular form 103056.2.a.bf

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} + 2 q^{7} + q^{9} - 4 q^{11} - 5 q^{13} + 2 q^{15} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display