Properties

Label 59976.r
Number of curves $1$
Conductor $59976$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 59976.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59976.r1 59976q1 \([0, 0, 0, -2312163, -1355013954]\) \(-3241463778/4913\) \(-2071975638809954304\) \([]\) \(1225728\) \(2.4147\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59976.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59976.r do not have complex multiplication.

Modular form 59976.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{11} + 4 q^{13} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display