Properties

Label 455175s
Number of curves $1$
Conductor $455175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 455175s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.s1 455175s1 \([0, 0, 1, -15497625, -24269452344]\) \(-11977551872/472311\) \(-16232266186675998046875\) \([]\) \(57507840\) \(3.0305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 455175s do not have complex multiplication.

Modular form 455175.2.a.s

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