Properties

Label 8015.e
Number of curves $1$
Conductor $8015$
CM no
Rank $0$

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

Elliptic curves in class 8015.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8015.e1 8015a1 \([1, 1, 0, -108, 3287]\) \(-141339344329/4714783675\) \(-4714783675\) \([]\) \(4480\) \(0.53648\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8015.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8015.e do not have complex multiplication.

Modular form 8015.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{2} + 2 q^{3} - q^{4} - q^{5} + 2 q^{6} - q^{7} - 3 q^{8} + q^{9} - q^{10} - q^{11} - 2 q^{12} - 5 q^{13} - q^{14} - 2 q^{15} - q^{16} + 2 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display