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SageMath
E = EllipticCurve("cac1")
E.isogeny_class()
Elliptic curves in class 705600.cac
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.cac1 | \([0, 0, 0, -8998500, -10389715000]\) | \(-805661175040/729\) | \(-72913705200000000\) | \([]\) | \(17694720\) | \(2.5340\) |
Rank
sage: E.rank()
The elliptic curve 705600.cac1 has rank \(0\).
Complex multiplication
The elliptic curves in class 705600.cac do not have complex multiplication.Modular form 705600.2.a.cac
sage: E.q_eigenform(10)