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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 9800.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.e1 | 9800bk1 | \([0, 1, 0, 12, 13]\) | \(1280\) | \(-137200\) | \([]\) | \(768\) | \(-0.32623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.e do not have complex multiplication.Modular form 9800.2.a.e
sage: E.q_eigenform(10)