Properties

Label 121680.k
Number of curves $1$
Conductor $121680$
CM no
Rank $1$

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

Elliptic curves in class 121680.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.k1 121680bd1 \([0, 0, 0, -2557308, -1587648868]\) \(-934577152/9375\) \(-18553632103000800000\) \([]\) \(3594240\) \(2.5162\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121680.k do not have complex multiplication.

Modular form 121680.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 3 q^{11} - q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display