Properties

Label 321552.cr
Number of curves $1$
Conductor $321552$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 321552.cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
321552.cr1 321552cr1 \([0, 0, 0, -3, -20414]\) \(-1/60291\) \(-180027961344\) \([]\) \(221184\) \(0.83858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 321552.cr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 321552.cr do not have complex multiplication.

Modular form 321552.2.a.cr

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + q^{11} - q^{13} - 5 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display