Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ca1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.ba1 60984ca1 \([0, 0, 0, -2343, 47311]\) \(-91625216/9261\) \(-143775024624\) \([]\) \(55296\) \(0.88095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984ca1 has rank \(2\).

Complex multiplication

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

Modular form 60984.2.a.ca

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