Properties

Label 60984.k
Number of curves $1$
Conductor $60984$
CM no
Rank $1$

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

Elliptic curves in class 60984.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.k1 60984x1 \([0, 0, 0, 429, 8206]\) \(48334/189\) \(-34143234048\) \([]\) \(50688\) \(0.70389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 60984.k do not have complex multiplication.

Modular form 60984.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2q^{5} - q^{7} + 5q^{13} + 6q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display