Properties

Label 121275bz
Number of curves $1$
Conductor $121275$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 121275bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.h1 121275bz1 \([0, 0, 1, -40635, 3152756]\) \(61549867008/1331\) \(160463197125\) \([]\) \(470016\) \(1.2666\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275bz1 has rank \(1\).

Complex multiplication

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

Modular form 121275.2.a.bz

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{11} + q^{13} - 4 q^{16} - 8 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display