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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 80223.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80223.q1 | 80223j1 | \([0, -1, 1, -18, -199]\) | \(-5632000/146523\) | \(-17729283\) | \([]\) | \(24576\) | \(0.071485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80223.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80223.q do not have complex multiplication.Modular form 80223.2.a.q
sage: E.q_eigenform(10)