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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 133200cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.el1 | 133200cy1 | \([0, 0, 0, 5325, -580750]\) | \(357911/3330\) | \(-155364480000000\) | \([]\) | \(368640\) | \(1.4043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200cy1 has rank \(2\).
Complex multiplication
The elliptic curves in class 133200cy do not have complex multiplication.Modular form 133200.2.a.cy
sage: E.q_eigenform(10)