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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 110946.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.q1 | 110946o1 | \([1, 0, 1, -15, 58]\) | \(-201433/792\) | \(-1331352\) | \([]\) | \(18144\) | \(-0.13943\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110946.q do not have complex multiplication.Modular form 110946.2.a.q
sage: E.q_eigenform(10)