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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 277350d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 277350.d1 | 277350d1 | \([1, 1, 0, 114600, 40848000]\) | \(1685159/8256\) | \(-815455833321000000\) | \([]\) | \(6209280\) | \(2.1191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277350d do not have complex multiplication.Modular form 277350.2.a.d
sage: E.q_eigenform(10)