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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 122a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122.a1 | 122a1 | \([1, 0, 1, 2, 0]\) | \(1685159/976\) | \(-976\) | \([]\) | \(8\) | \(-0.73692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122a do not have complex multiplication.Modular form 122.2.a.a
sage: E.q_eigenform(10)