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SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 198744.dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
198744.dt1 | 198744bc1 | \([0, 1, 0, -15693344, 26771185104]\) | \(-20994006260678308/3063651608241\) | \(-62375534204715800699904\) | \([]\) | \(22118400\) | \(3.1043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 198744.dt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 198744.dt do not have complex multiplication.Modular form 198744.2.a.dt
sage: E.q_eigenform(10)