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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 221968a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221968.a1 | 221968a1 | \([0, -1, 0, -184, -1680]\) | \(-169112377/221968\) | \(-909180928\) | \([]\) | \(139776\) | \(0.41192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221968a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221968a do not have complex multiplication.Modular form 221968.2.a.a
sage: E.q_eigenform(10)