Properties

Label 60984bm
Number of curves $1$
Conductor $60984$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 60984bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.u1 60984bm1 \([0, 0, 0, 885357, 1145779371]\) \(137566156032/1096135733\) \(-611549649581401271664\) \([]\) \(1935360\) \(2.6700\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60984bm1 has rank \(1\).

Complex multiplication

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

Modular form 60984.2.a.bm

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