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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 142800dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142800.dj1 | 142800dt1 | \([0, -1, 0, -1903940533, -31980867474563]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-143787548227995000000000000\) | \([]\) | \(72576000\) | \(4.0207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142800dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142800dt do not have complex multiplication.Modular form 142800.2.a.dt
sage: E.q_eigenform(10)