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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 301665.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301665.cc1 | 301665cc1 | \([0, 1, 1, -2575616, 2623072001]\) | \(-2316436530663424/2305678921875\) | \(-1880813129335596421875\) | \([]\) | \(21086208\) | \(2.7779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301665.cc do not have complex multiplication.Modular form 301665.2.a.cc
sage: E.q_eigenform(10)