Properties

Label 190575.c
Number of curves $1$
Conductor $190575$
CM no
Rank $1$

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

Elliptic curves in class 190575.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.c1 190575h1 \([0, 0, 1, 225795075, 1291422340656]\) \(63090423356788736/72214645051395\) \(-1457232827759078144793046875\) \([]\) \(100638720\) \(3.8986\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 190575.c do not have complex multiplication.

Modular form 190575.2.a.c

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