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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 47775.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47775.be1 | 47775cq1 | \([1, 0, 0, 8124402, -11887136703]\) | \(48412981936758748562855/77853743274432041397\) | \(-95370835511179250711325\) | \([]\) | \(3818880\) | \(3.0945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47775.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47775.be do not have complex multiplication.Modular form 47775.2.a.be
sage: E.q_eigenform(10)