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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 410958be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
410958.be1 | 410958be1 | \([1, -1, 1, -9158, -315367]\) | \(4826809/316\) | \(5560426945116\) | \([]\) | \(1182720\) | \(1.1953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 410958be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 410958be do not have complex multiplication.Modular form 410958.2.a.be
sage: E.q_eigenform(10)