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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 487872cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.cc1 | 487872cc1 | \([0, 0, 0, 207636, 34787016]\) | \(15185664/16807\) | \(-1095690982145227776\) | \([]\) | \(9461760\) | \(2.1480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872cc do not have complex multiplication.Modular form 487872.2.a.cc
sage: E.q_eigenform(10)