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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 455175t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.t1 | 455175t1 | \([0, 0, 1, -81823125, -75426064844]\) | \(352558182400/189724437\) | \(32602009729830986689453125\) | \([]\) | \(136581120\) | \(3.5867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175t do not have complex multiplication.Modular form 455175.2.a.t
sage: E.q_eigenform(10)