Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.c1 60984i1 \([0, 0, 0, 3861, -88209]\) \(15185664/16807\) \(-7044976206576\) \([]\) \(161280\) \(1.1518\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.c1 has rank \(2\).

Complex multiplication

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

Modular form 60984.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3q^{5} + q^{7} - 7q^{13} + 2q^{17} + q^{19} + O(q^{20})\)  Toggle raw display