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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 169050.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169050.q1 | 169050hi1 | \([1, 1, 0, -4383075, -5460757875]\) | \(-16879132949/13565952\) | \(-7484464197504000000000\) | \([]\) | \(14407680\) | \(2.8956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169050.q do not have complex multiplication.Modular form 169050.2.a.q
sage: E.q_eigenform(10)