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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 16562a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.q1 | 16562a1 | \([1, 0, 1, -173, 340]\) | \(8281/4\) | \(274299844\) | \([]\) | \(5760\) | \(0.31277\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16562a do not have complex multiplication.Modular form 16562.2.a.a
sage: E.q_eigenform(10)