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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 101150q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.bc1 | 101150q1 | \([1, 0, 1, -29901, -1992552]\) | \(654699641761/112\) | \(505750000\) | \([]\) | \(161280\) | \(1.0688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101150q do not have complex multiplication.Modular form 101150.2.a.q
sage: E.q_eigenform(10)