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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 150075z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.o1 | 150075z1 | \([0, 0, 1, 20250, -2586094]\) | \(119439360/444889\) | \(-3420605541796875\) | \([]\) | \(524160\) | \(1.6636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075z do not have complex multiplication.Modular form 150075.2.a.z
sage: E.q_eigenform(10)