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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 193600fx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.y1 | 193600fx1 | \([0, 1, 0, -347233, -78868737]\) | \(233551483825/8192\) | \(162403450880000\) | \([]\) | \(1437696\) | \(1.8168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600fx do not have complex multiplication.Modular form 193600.2.a.fx
sage: E.q_eigenform(10)