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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 170352b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
170352.a1 | 170352b1 | \([0, 0, 0, -17644107, 19981561210]\) | \(249395415529/73513818\) | \(179061935085483725463552\) | \([]\) | \(25159680\) | \(3.1676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 170352b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 170352b do not have complex multiplication.Modular form 170352.2.a.b
sage: E.q_eigenform(10)