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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 429429.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 429429.d1 | 429429d1 | \([0, -1, 1, -14321116, 20793421560]\) | \(313944395776/1240029\) | \(1283020031702409141141\) | \([]\) | \(44605440\) | \(2.9075\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 429429.d do not have complex multiplication.Modular form 429429.2.a.d
sage: E.q_eigenform(10)