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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 6896.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6896.i1 | 6896c1 | \([0, 1, 0, -52, -164]\) | \(-61918288/431\) | \(-110336\) | \([]\) | \(704\) | \(-0.19876\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6896.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6896.i do not have complex multiplication.Modular form 6896.2.a.i
sage: E.q_eigenform(10)