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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 9792.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.w1 | 9792bf1 | \([0, 0, 0, -108, 486]\) | \(-110592/17\) | \(-21415104\) | \([]\) | \(1920\) | \(0.13565\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9792.w do not have complex multiplication.Modular form 9792.2.a.w
sage: E.q_eigenform(10)