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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 159120.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159120.v1 | 159120bl1 | \([0, 0, 0, -768, -9488]\) | \(-16777216/3315\) | \(-9898536960\) | \([]\) | \(96768\) | \(0.64101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159120.v do not have complex multiplication.Modular form 159120.2.a.v
sage: E.q_eigenform(10)