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SageMath
E = EllipticCurve("ccf1")
E.isogeny_class()
Elliptic curves in class 705600.ccf
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.ccf1 | \([0, 0, 0, -13685700, -32113975250]\) | \(-1376628736/1366875\) | \(-281472991507141875000000\) | \([]\) | \(72253440\) | \(3.1953\) |
Rank
sage: E.rank()
The elliptic curve 705600.ccf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 705600.ccf do not have complex multiplication.Modular form 705600.2.a.ccf
sage: E.q_eigenform(10)