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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 10143e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10143.d1 | 10143e1 | \([0, 0, 1, -18669, -1050352]\) | \(-226534772736/18941489\) | \(-60168075462747\) | \([]\) | \(37632\) | \(1.3894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10143e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10143e do not have complex multiplication.Modular form 10143.2.a.e
sage: E.q_eigenform(10)