Properties

Label 455175.c
Number of curves $1$
Conductor $455175$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 455175.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.c1 455175c1 \([0, 0, 1, -30583425, -64882766844]\) \(39814672384/153125\) \(12167042556150439453125\) \([]\) \(63452160\) \(3.0961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175.c1 has rank \(1\).

Complex multiplication

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

Modular form 455175.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} - 5 q^{11} + 4 q^{13} + 2 q^{14} - 4 q^{16} - q^{19} + O(q^{20})\) Copy content Toggle raw display