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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1849.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1849.a1 | 1849c1 | \([1, 1, 1, -71225, 1841958]\) | \(1849\) | \(21611482313284249\) | \([]\) | \(9030\) | \(1.8253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1849.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1849.a do not have complex multiplication.Modular form 1849.2.a.a
sage: E.q_eigenform(10)