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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 287490.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.x1 | 287490x1 | \([1, 1, 0, -472, 3766]\) | \(-230346397/630\) | \(-31911390\) | \([]\) | \(134784\) | \(0.31338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 287490.x do not have complex multiplication.Modular form 287490.2.a.x
sage: E.q_eigenform(10)