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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 110940b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110940.b1 | 110940b1 | \([0, -1, 0, -8589221, -9720159855]\) | \(-43304636317696/176326875\) | \(-285344305195684320000\) | \([]\) | \(5677056\) | \(2.7812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110940b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110940b do not have complex multiplication.Modular form 110940.2.a.b
sage: E.q_eigenform(10)