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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2244.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2244.a1 | 2244a1 | \([0, -1, 0, -2277, -1706463]\) | \(-5102271397888/4915446963867\) | \(-1258354422749952\) | \([]\) | \(16128\) | \(1.5764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2244.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2244.a do not have complex multiplication.Modular form 2244.2.a.a
sage: E.q_eigenform(10)