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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2888.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2888.a1 | 2888e1 | \([0, -1, 0, -43440, 6433996]\) | \(-722\) | \(-12556423695976448\) | \([]\) | \(19152\) | \(1.7815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2888.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2888.a do not have complex multiplication.Modular form 2888.2.a.a
sage: E.q_eigenform(10)