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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 4641e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4641.g1 | 4641e1 | \([0, 1, 1, -2912, -61465]\) | \(-2731787761881088/19171971\) | \(-19171971\) | \([]\) | \(4128\) | \(0.57678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4641e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4641e do not have complex multiplication.Modular form 4641.2.a.e
sage: E.q_eigenform(10)