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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 66759i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66759.k1 | 66759i1 | \([0, 1, 1, -27840, -33362773]\) | \(-1183744/237699\) | \(-479199734142826851\) | \([]\) | \(1233792\) | \(2.0719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66759i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66759i do not have complex multiplication.Modular form 66759.2.a.i
sage: E.q_eigenform(10)