Properties

Label 375347d
Number of curves $1$
Conductor $375347$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 375347d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
375347.d1 375347d1 \([1, 0, 1, -39, 144195]\) \(-1/1421\) \(-8982656892629\) \([]\) \(623280\) \(1.1644\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 375347d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 375347d do not have complex multiplication.

Modular form 375347.2.a.d

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