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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 138600.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.y1 | 138600cb1 | \([0, 0, 0, -2775, -1866625]\) | \(-12967168/8251551\) | \(-1503845169750000\) | \([]\) | \(580608\) | \(1.5913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600.y do not have complex multiplication.Modular form 138600.2.a.y
sage: E.q_eigenform(10)