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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 22386c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22386.a1 | 22386c1 | \([1, 1, 0, -60378, -5556204]\) | \(24342833031142160809/871338958753536\) | \(871338958753536\) | \([]\) | \(118272\) | \(1.6371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 22386c do not have complex multiplication.Modular form 22386.2.a.c
sage: E.q_eigenform(10)