Properties

Label 12480bt
Number of curves $1$
Conductor $12480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 12480bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12480.q1 12480bt1 \([0, -1, 0, -11211, 460665]\) \(-2435092894982656/88846875\) \(-5686200000\) \([]\) \(13440\) \(0.95972\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12480bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12480bt do not have complex multiplication.

Modular form 12480.2.a.bt

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