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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 272734.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 272734.d1 | 272734d1 | \([1, 0, 1, -99300, 727010]\) | \(691510653107/398688256\) | \(62430920532721664\) | \([]\) | \(3326400\) | \(1.9123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272734.d do not have complex multiplication.Modular form 272734.2.a.d
sage: E.q_eigenform(10)