Properties

Label 207575p
Number of curves $1$
Conductor $207575$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 207575p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207575.p1 207575p1 \([0, -1, 1, -6618, -205787]\) \(-5451776/23\) \(-135256907875\) \([]\) \(338688\) \(0.99051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207575p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 207575p do not have complex multiplication.

Modular form 207575.2.a.p

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