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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 11088.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11088.e1 | 11088g1 | \([0, 0, 0, -13359, -594351]\) | \(-610325920583424/55240493\) | \(-23863892976\) | \([]\) | \(15360\) | \(1.0308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11088.e do not have complex multiplication.Modular form 11088.2.a.e
sage: E.q_eigenform(10)