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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 34914a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 34914.f1 | 34914a1 | \([1, 1, 0, 2445652423, 568872856827813]\) | \(20657855188840838401319/1797167311782439550976\) | \(-140737942900488961550753785184256\) | \([]\) | \(130625280\) | \(4.8482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914a do not have complex multiplication.Modular form 34914.2.a.a
sage: E.q_eigenform(10)