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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 96192.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96192.z1 | 96192q1 | \([0, 0, 0, -396, -12528]\) | \(-35937/334\) | \(-63828393984\) | \([]\) | \(49152\) | \(0.75572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96192.z do not have complex multiplication.Modular form 96192.2.a.z
sage: E.q_eigenform(10)