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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 136367.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 136367.d1 | 136367d1 | \([1, 1, 1, -1428103531, 20771851644270]\) | \(4505721246665691247/253\) | \(18086685721743331\) | \([]\) | \(27095040\) | \(3.5077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136367.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 136367.d do not have complex multiplication.Modular form 136367.2.a.d
sage: E.q_eigenform(10)