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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 2888.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2888.e1 | 2888a1 | \([0, 1, 0, -153184, 23025409]\) | \(1462911232\) | \(271737008656\) | \([]\) | \(9576\) | \(1.5090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2888.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2888.e do not have complex multiplication.Modular form 2888.2.a.e
sage: E.q_eigenform(10)