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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 14586a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14586.b1 | 14586a1 | \([1, 1, 0, -362681, 88298661]\) | \(-5275941807135921123097/326485867713527808\) | \(-326485867713527808\) | \([]\) | \(234080\) | \(2.1149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14586a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14586a do not have complex multiplication.Modular form 14586.2.a.a
sage: E.q_eigenform(10)