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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 73689.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73689.a1 | 73689i1 | \([1, 1, 1, -337169, -75500710]\) | \(-289531596860402017/17410522563\) | \(-254907460844883\) | \([]\) | \(483840\) | \(1.8254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73689.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73689.a do not have complex multiplication.Modular form 73689.2.a.a
sage: E.q_eigenform(10)