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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 349830x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.x1 | 349830x1 | \([1, -1, 0, -675, 2965]\) | \(276301129/132480\) | \(16321668480\) | \([]\) | \(236544\) | \(0.65345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830x do not have complex multiplication.Modular form 349830.2.a.x
sage: E.q_eigenform(10)