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SageMath
E = EllipticCurve("jz1")
E.isogeny_class()
Elliptic curves in class 43200.jz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43200.jz1 | 43200dw1 | \([0, 0, 0, -164700, 26811000]\) | \(-1568892672/78125\) | \(-24603750000000000\) | \([]\) | \(387072\) | \(1.9063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43200.jz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43200.jz do not have complex multiplication.Modular form 43200.2.a.jz
sage: E.q_eigenform(10)