Properties

Label 60984.z
Number of curves $1$
Conductor $60984$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.z1 60984bf1 \([0, 0, 0, -1808103, 969235531]\) \(-31636584484096/1331669031\) \(-27516926381532288624\) \([]\) \(1382400\) \(2.4967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.z1 has rank \(2\).

Complex multiplication

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

Modular form 60984.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 3q^{13} - 7q^{19} + O(q^{20})\)  Toggle raw display