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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 110032.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110032.e1 | 110032b1 | \([0, -1, 0, -8640, -320672]\) | \(-235298/13\) | \(-3941307508736\) | \([]\) | \(197120\) | \(1.1747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110032.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110032.e do not have complex multiplication.Modular form 110032.2.a.e
sage: E.q_eigenform(10)