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SageMath
E = EllipticCurve("gz1")
E.isogeny_class()
Elliptic curves in class 430950gz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.gz1 | 430950gz1 | \([1, 0, 0, -452349713, -1006630154583]\) | \(4752182606640001/2546899200000\) | \(5486120040678509700000000000\) | \([]\) | \(355829760\) | \(4.0139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950gz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950gz do not have complex multiplication.Modular form 430950.2.a.gz
sage: E.q_eigenform(10)