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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 6300.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6300.z1 | 6300l1 | \([0, 0, 0, 9375, 165625]\) | \(800000/567\) | \(-64584843750000\) | \([]\) | \(11520\) | \(1.3384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6300.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6300.z do not have complex multiplication.Modular form 6300.2.a.z
sage: E.q_eigenform(10)