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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 55473q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.i1 | 55473q1 | \([0, 1, 1, -183789, -32740666]\) | \(-85983232/8019\) | \(-64031115412321299\) | \([]\) | \(495936\) | \(1.9671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55473q do not have complex multiplication.Modular form 55473.2.a.q
sage: E.q_eigenform(10)