Properties

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

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 121275cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.cs1 121275cx1 \([0, 0, 1, -1447950, 2167663531]\) \(-250523582464/1369738755\) \(-1835580934370614921875\) \([]\) \(3686400\) \(2.7642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275cx1 has rank \(1\).

Complex multiplication

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

Modular form 121275.2.a.cx

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{11} + 4 q^{16} - 3 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display