Properties

Label 270802q
Number of curves $1$
Conductor $270802$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 270802q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270802.q1 270802q1 \([1, -1, 1, -47254, -3988745]\) \(-23326353/322\) \(-161079344973442\) \([]\) \(835200\) \(1.5325\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270802q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 270802q do not have complex multiplication.

Modular form 270802.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2q^{5} - q^{7} + q^{8} - 3q^{9} + 2q^{10} - 2q^{11} + 3q^{13} - q^{14} + q^{16} + 3q^{17} - 3q^{18} + 4q^{19} + O(q^{20})\)  Toggle raw display