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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 88a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88.a1 | 88a1 | \([0, 0, 0, -4, 4]\) | \(-27648/11\) | \(-2816\) | \([]\) | \(8\) | \(-0.62921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88a do not have complex multiplication.Modular form 88.2.a.a
sage: E.q_eigenform(10)