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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 90009c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 90009.c1 | 90009c1 | \([0, 0, 1, -27102, -1754811]\) | \(-3019953157341184/77148304059\) | \(-56241113659011\) | \([]\) | \(132352\) | \(1.4221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90009c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90009c do not have complex multiplication.Modular form 90009.2.a.c
sage: E.q_eigenform(10)