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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 160446.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.q1 | 160446bh1 | \([1, 0, 1, -16459, -814090]\) | \(-33676378040569/509184\) | \(-7454962944\) | \([]\) | \(322560\) | \(1.0306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446.q do not have complex multiplication.Modular form 160446.2.a.q
sage: E.q_eigenform(10)