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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 309738.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309738.y1 | 309738y1 | \([1, 0, 1, -16614, -868040]\) | \(-10779215329/658944\) | \(-31000601009664\) | \([]\) | \(1026432\) | \(1.3434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309738.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309738.y do not have complex multiplication.Modular form 309738.2.a.y
sage: E.q_eigenform(10)