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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 105966q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105966.w1 | 105966q1 | \([1, -1, 0, -10888164, 13821202476]\) | \(391449897889/333396\) | \(121582731606652710324\) | \([]\) | \(5011200\) | \(2.7810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105966q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105966q do not have complex multiplication.Modular form 105966.2.a.q
sage: E.q_eigenform(10)