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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1911.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1911.e1 | 1911e1 | \([0, 1, 1, 5, 88]\) | \(32768/9477\) | \(-3250611\) | \([]\) | \(192\) | \(-0.071311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1911.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1911.e do not have complex multiplication.Modular form 1911.2.a.e
sage: E.q_eigenform(10)