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SageMath
E = EllipticCurve("fa1")
E.isogeny_class()
Elliptic curves in class 84150.fa
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.fa1 | 84150dx1 | \([1, -1, 1, 439495, 307089497]\) | \(22253722294800933/109514680000000\) | \(-46201505625000000000\) | \([]\) | \(2419200\) | \(2.4556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150.fa1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84150.fa do not have complex multiplication.Modular form 84150.2.a.fa
sage: E.q_eigenform(10)