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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 272832q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.q1 | 272832q1 | \([0, -1, 0, 527603711, 8465650378753]\) | \(526646344431378309263/1308681048044740608\) | \(-40361005317204394060176949248\) | \([]\) | \(181149696\) | \(4.1728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272832q do not have complex multiplication.Modular form 272832.2.a.q
sage: E.q_eigenform(10)