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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 124950y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.t1 | 124950y1 | \([1, 1, 0, -2230, 118420]\) | \(-417267265/1850688\) | \(-5443289812800\) | \([]\) | \(207360\) | \(1.1287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 124950y do not have complex multiplication.Modular form 124950.2.a.y
sage: E.q_eigenform(10)