Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.o1 60984ci1 \([0, 0, 0, 51909, -10922186]\) \(48334/189\) \(-60486821853308928\) \([]\) \(557568\) \(1.9028\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984.o1 has rank \(1\).

Complex multiplication

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

Modular form 60984.2.a.o

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