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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1216.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1216.a1 | 1216r1 | \([0, 0, 0, 20, 16]\) | \(27000/19\) | \(-622592\) | \([]\) | \(192\) | \(-0.19970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1216.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1216.a do not have complex multiplication.Modular form 1216.2.a.a
sage: E.q_eigenform(10)