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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 88935.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.e1 | 88935bu1 | \([0, 1, 1, 8804, 220336]\) | \(2207744/1875\) | \(-64086572116875\) | \([]\) | \(379008\) | \(1.3369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88935.e do not have complex multiplication.Modular form 88935.2.a.e
sage: E.q_eigenform(10)