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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 4368.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4368.z1 | 4368y1 | \([0, 1, 0, -1607744, 788598324]\) | \(-112205650221491190337/745029571313664\) | \(-3051641124100767744\) | \([]\) | \(114240\) | \(2.3824\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4368.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4368.z do not have complex multiplication.Modular form 4368.2.a.z
sage: E.q_eigenform(10)