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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 476850.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.t1 | 476850t1 | \([1, 1, 0, -11710, 485740]\) | \(-85058290705/577368\) | \(-1205558818200\) | \([]\) | \(1088640\) | \(1.1528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850.t do not have complex multiplication.Modular form 476850.2.a.t
sage: E.q_eigenform(10)