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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 121968i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 121968.fo1 | 121968i1 | \([0, 0, 0, -14547951, -21359191887]\) | \(-610325920583424/55240493\) | \(-30819453394148085744\) | \([]\) | \(5529600\) | \(2.7790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121968i do not have complex multiplication.Modular form 121968.2.a.i
sage: E.q_eigenform(10)