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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 22021a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22021.a1 | 22021a1 | \([1, 1, 0, -729, -8314]\) | \(-912673/61\) | \(-2869798741\) | \([]\) | \(13824\) | \(0.56676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22021a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22021a do not have complex multiplication.Modular form 22021.2.a.a
sage: E.q_eigenform(10)