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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 311696y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.y1 | 311696y1 | \([0, -1, 0, -170980, -26807812]\) | \(1622348567321456/23833778129\) | \(8121026224562944\) | \([]\) | \(1967616\) | \(1.8560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696y do not have complex multiplication.Modular form 311696.2.a.y
sage: E.q_eigenform(10)