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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 222180i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 222180.x1 | 222180i1 | \([0, 1, 0, -36125, 1905855]\) | \(38500260143104/10546446645\) | \(1428241990452480\) | \([]\) | \(1327104\) | \(1.6156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180i do not have complex multiplication.Modular form 222180.2.a.i
sage: E.q_eigenform(10)