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SageMath
E = EllipticCurve("fy1")
E.isogeny_class()
Elliptic curves in class 304200fy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.fy1 | 304200fy1 | \([0, 0, 0, -354900, -97327100]\) | \(-8780800/2187\) | \(-1231278816849120000\) | \([]\) | \(6031872\) | \(2.1892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200fy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304200fy do not have complex multiplication.Modular form 304200.2.a.fy
sage: E.q_eigenform(10)