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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 443760.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.x1 | 443760x1 | \([0, -1, 0, -4319880, -3356835600]\) | \(186222121/6000\) | \(287249210022322176000\) | \([]\) | \(20805120\) | \(2.6996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443760.x do not have complex multiplication.Modular form 443760.2.a.x
sage: E.q_eigenform(10)