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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 29400.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.t1 | 29400g1 | \([0, -1, 0, 209592, -1164079188]\) | \(649381163998/373669453125\) | \(-585913702500000000000\) | \([]\) | \(1128960\) | \(2.6640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29400.t do not have complex multiplication.Modular form 29400.2.a.t
sage: E.q_eigenform(10)