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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 92400.cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.cy1 | 92400bd1 | \([0, -1, 0, -2071433, 1144792197]\) | \(153587764760452480000/526418089637517\) | \(3369075773680108800\) | \([]\) | \(2350080\) | \(2.4185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.cy do not have complex multiplication.Modular form 92400.2.a.cy
sage: E.q_eigenform(10)