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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 66270d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 66270.d1 | 66270d1 | \([1, 1, 0, -21313, 722917]\) | \(484722957959161/175781250000\) | \(388300781250000\) | \([]\) | \(439296\) | \(1.4999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66270d do not have complex multiplication.Modular form 66270.2.a.d
sage: E.q_eigenform(10)