Properties

Label 121275.ba
Number of curves $1$
Conductor $121275$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.ba1 121275cw1 \([0, 0, 1, 128625, -64451844]\) \(3584000/29403\) \(-1930738773943546875\) \([]\) \(2903040\) \(2.1901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121275.ba do not have complex multiplication.

Modular form 121275.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{11} + 5 q^{13} - 4 q^{16} + 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display