Properties

Label 64715.g
Number of curves $1$
Conductor $64715$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 64715.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64715.g1 64715c1 \([0, 0, 1, 79507, -36752111]\) \(110592/1225\) \(-615675949622632675\) \([]\) \(938432\) \(2.0944\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64715.g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 64715.g do not have complex multiplication.

Modular form 64715.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} - q^{5} + q^{7} - 3 q^{9} - 2 q^{10} - 5 q^{11} - q^{13} + 2 q^{14} - 4 q^{16} - 3 q^{17} - 6 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display