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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 10164a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10164.h1 | 10164a1 | \([0, -1, 0, 8430, 241749]\) | \(1755904/1701\) | \(-64173904358256\) | \([]\) | \(31680\) | \(1.3364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10164a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10164a do not have complex multiplication.Modular form 10164.2.a.a
sage: E.q_eigenform(10)