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SageMath
E = EllipticCurve("bmm1")
E.isogeny_class()
Elliptic curves in class 705600.bmm
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.bmm1 | \([0, 0, 0, 105000, -5425000]\) | \(358400/243\) | \(-86802030000000000\) | \([]\) | \(3686400\) | \(1.9389\) |
Rank
sage: E.rank()
The elliptic curve 705600.bmm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 705600.bmm do not have complex multiplication.Modular form 705600.2.a.bmm
sage: E.q_eigenform(10)