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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 143745.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.q1 | 143745s1 | \([0, -1, 1, -275625, -55371094]\) | \(1235589508366336/5980078125\) | \(11207629198828125\) | \([]\) | \(967680\) | \(1.9281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 143745.q do not have complex multiplication.Modular form 143745.2.a.q
sage: E.q_eigenform(10)