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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 47040.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47040.t1 | 47040du1 | \([0, -1, 0, 140859, 23494941]\) | \(3272428544/4428675\) | \(-418290566245171200\) | \([]\) | \(473088\) | \(2.0670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47040.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47040.t do not have complex multiplication.Modular form 47040.2.a.t
sage: E.q_eigenform(10)