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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 67270a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 67270.n1 | 67270a1 | \([1, 0, 1, -123509, 2209792]\) | \(7880599/4480\) | \(118449507279806080\) | \([]\) | \(777728\) | \(1.9660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67270a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67270a do not have complex multiplication.Modular form 67270.2.a.a
sage: E.q_eigenform(10)