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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 309168.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.y1 | 309168y1 | \([0, 0, 0, -2928, 73456]\) | \(-929714176/242611\) | \(-724432564224\) | \([]\) | \(307200\) | \(0.99269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 309168.y do not have complex multiplication.Modular form 309168.2.a.y
sage: E.q_eigenform(10)