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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 109554.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 109554.d1 | 109554a1 | \([1, 1, 0, -4026129, -3111064803]\) | \(8462396842393/110808\) | \(94507150076762328\) | \([]\) | \(3749760\) | \(2.4016\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 109554.d do not have complex multiplication.Modular form 109554.2.a.d
sage: E.q_eigenform(10)