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SageMath
E = EllipticCurve("hz1")
E.isogeny_class()
Elliptic curves in class 423360.hz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
423360.hz1 | 423360hz1 | \([0, 0, 0, -35868, -2724792]\) | \(-1568892672/78125\) | \(-254121840000000\) | \([]\) | \(1548288\) | \(1.5252\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 423360.hz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 423360.hz do not have complex multiplication.Modular form 423360.2.a.hz
sage: E.q_eigenform(10)