Properties

Label 300015g
Number of curves $1$
Conductor $300015$
CM no
Rank $0$

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

Elliptic curves in class 300015g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
300015.g1 300015g1 \([0, 0, 1, -3117, -68495]\) \(-4594165018624/121506075\) \(-88577928675\) \([]\) \(424704\) \(0.88306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 300015g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 300015g do not have complex multiplication.

Modular form 300015.2.a.g

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