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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 105966.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105966.q1 | 105966a1 | \([1, -1, 0, -80411952, 277567888640]\) | \(-3580418379458257875/83441483776\) | \(-1340089393197814382592\) | \([]\) | \(9273600\) | \(3.1663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105966.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105966.q do not have complex multiplication.Modular form 105966.2.a.q
sage: E.q_eigenform(10)