Properties

Label 301530.r
Number of curves $1$
Conductor $301530$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 301530.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301530.r1 301530r1 \([1, 1, 0, -22, 724]\) \(-2387929/437760\) \(-231575040\) \([]\) \(172800\) \(0.28435\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301530.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 301530.r do not have complex multiplication.

Modular form 301530.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 4 q^{7} - q^{8} + q^{9} - q^{10} - 2 q^{11} - q^{12} - 4 q^{13} - 4 q^{14} - q^{15} + q^{16} + 6 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display