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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 414736.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.q1 | 414736q1 | \([0, -1, 0, -112324, -14955457]\) | \(-562432/23\) | \(-6409188944225648\) | \([]\) | \(2433024\) | \(1.8006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414736.q do not have complex multiplication.Modular form 414736.2.a.q
sage: E.q_eigenform(10)