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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 54096.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.be1 | 54096bh1 | \([0, -1, 0, -100, -356]\) | \(-8904784/69\) | \(-865536\) | \([]\) | \(6912\) | \(-0.031487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54096.be do not have complex multiplication.Modular form 54096.2.a.be
sage: E.q_eigenform(10)