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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 96192w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96192.j1 | 96192w1 | \([0, 0, 0, -10668, -424496]\) | \(-1405190738/1503\) | \(-143613886464\) | \([]\) | \(73728\) | \(1.0572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96192w do not have complex multiplication.Modular form 96192.2.a.w
sage: E.q_eigenform(10)