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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 209484.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209484.y1 | 209484r1 | \([0, 0, 0, -345, 2369]\) | \(736000/33\) | \(203618448\) | \([]\) | \(69120\) | \(0.35678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209484.y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 209484.y do not have complex multiplication.Modular form 209484.2.a.y
sage: E.q_eigenform(10)