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SageMath
E = EllipticCurve("bnx1")
E.isogeny_class()
Elliptic curves in class 705600.bnx
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.bnx1 | \([0, 0, 0, 5145000, 1860775000]\) | \(358400/243\) | \(-10212172027470000000000\) | \([]\) | \(25804800\) | \(2.9118\) |
Rank
sage: E.rank()
The elliptic curve 705600.bnx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 705600.bnx do not have complex multiplication.Modular form 705600.2.a.bnx
sage: E.q_eigenform(10)