Properties

Label 15210.bu
Number of curves $1$
Conductor $15210$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 15210.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15210.bu1 15210br1 \([1, -1, 1, -24731492, -47813246841]\) \(-2813198004118489/33177600000\) \(-19729646937837158400000\) \([]\) \(1697280\) \(3.0906\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15210.bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 15210.bu do not have complex multiplication.

Modular form 15210.2.a.bu

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + 3 q^{7} + q^{8} + q^{10} + 3 q^{11} + 3 q^{14} + q^{16} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display