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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 11088a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11088.p1 | 11088a1 | \([0, 0, 0, -3, 9]\) | \(-6912/77\) | \(-33264\) | \([]\) | \(512\) | \(-0.45031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11088a do not have complex multiplication.Modular form 11088.2.a.a
sage: E.q_eigenform(10)