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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 43350.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.b1 | 43350l1 | \([1, 1, 0, -1103450, -446601000]\) | \(52648307940625/708588\) | \(1999823554687500\) | \([]\) | \(617760\) | \(2.0787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350.b do not have complex multiplication.Modular form 43350.2.a.b
sage: E.q_eigenform(10)