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SageMath
E = EllipticCurve("km1")
E.isogeny_class()
Elliptic curves in class 705600.km
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.km1 | \([0, 0, 0, -720300, 283318000]\) | \(-19208/5\) | \(-10758502218240000000\) | \([]\) | \(10838016\) | \(2.3689\) |
Rank
sage: E.rank()
The elliptic curve 705600.km1 has rank \(2\).
Complex multiplication
The elliptic curves in class 705600.km do not have complex multiplication.Modular form 705600.2.a.km
sage: E.q_eigenform(10)