Properties

Label 327990.a
Number of curves $1$
Conductor $327990$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 327990.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.a1 327990a1 \([1, 1, 0, -51318, -15872172]\) \(-29878729/199680\) \(-99889203740052480\) \([]\) \(3201600\) \(1.9453\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 327990.a do not have complex multiplication.

Modular form 327990.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{7} - q^{8} + q^{9} + q^{10} - 3q^{11} - q^{12} - q^{13} + q^{14} + q^{15} + q^{16} - 2q^{17} - q^{18} + O(q^{20})\)  Toggle raw display