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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 36300bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36300.a1 | 36300bg1 | \([0, -1, 0, 35292, 2637912]\) | \(27440/33\) | \(-5846151300000000\) | \([]\) | \(345600\) | \(1.7116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36300bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36300bg do not have complex multiplication.Modular form 36300.2.a.bg
sage: E.q_eigenform(10)