Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 301530.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301530.g1 301530g1 \([1, 1, 0, 265812, -43344432]\) \(14030653277159/13630204800\) \(-2017759484820067200\) \([]\) \(6386688\) \(2.1994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301530.g1 has rank \(0\).

Complex multiplication

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

Modular form 301530.2.a.g

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