Properties

Label 121275.k
Number of curves $1$
Conductor $121275$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 121275.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121275.k1 121275gf1 \([0, 0, 1, -55125, -4341094]\) \(552960/77\) \(2579684108203125\) \([]\) \(921600\) \(1.6836\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121275.k1 has rank \(0\).

Complex multiplication

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

Modular form 121275.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{11} + 3 q^{13} - 4 q^{16} - 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display