Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 190575.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.cl1 190575ck1 \([0, 0, 1, 330, 756]\) \(32768/21\) \(-2547034875\) \([]\) \(79872\) \(0.49380\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.cl1 has rank \(1\).

Complex multiplication

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

Modular form 190575.2.a.cl

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{7} + 6 q^{13} + 4 q^{16} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display