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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 182.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182.a1 | 182c1 | \([1, 0, 1, -4609, 120244]\) | \(-10824513276632329/21926008832\) | \(-21926008832\) | \([]\) | \(308\) | \(0.87117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182.a do not have complex multiplication.Modular form 182.2.a.a
sage: E.q_eigenform(10)