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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 106575.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106575.q1 | 106575bc1 | \([1, 1, 1, 11612, -465844]\) | \(76895/87\) | \(-195913158984375\) | \([]\) | \(357840\) | \(1.4288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106575.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106575.q do not have complex multiplication.Modular form 106575.2.a.q
sage: E.q_eigenform(10)