Properties

Label 64715.e
Number of curves $1$
Conductor $64715$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 64715.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64715.e1 64715b1 \([1, 0, 1, -144416184, 685624853607]\) \(-28498608725272729/882735153125\) \(-10317585261803786242653125\) \([]\) \(10836000\) \(3.5766\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64715.e1 has rank \(0\).

Complex multiplication

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

Modular form 64715.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} - q^{5} + q^{6} + q^{7} - 3 q^{8} - 2 q^{9} - q^{10} - q^{12} + q^{14} - q^{15} - q^{16} - 2 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display