Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 321552.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
321552.m1 321552m1 \([0, 0, 0, -342219, -77142854]\) \(-1484391946907017/1946200179\) \(-5811322595291136\) \([]\) \(3072000\) \(1.9317\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 321552.m1 has rank \(1\).

Complex multiplication

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

Modular form 321552.2.a.m

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} - q^{11} - 3 q^{13} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display