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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 183920.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 183920.cc1 | 183920bg1 | \([0, 1, 0, -92000, 62045300]\) | \(-11867954041/222543200\) | \(-1614843305718579200\) | \([]\) | \(1843200\) | \(2.1749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 183920.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 183920.cc do not have complex multiplication.Modular form 183920.2.a.cc
sage: E.q_eigenform(10)