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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 44400.dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.dl1 | 44400de1 | \([0, 1, 0, -9333, -351537]\) | \(-899153920/4107\) | \(-410700000000\) | \([]\) | \(97920\) | \(1.0797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44400.dl do not have complex multiplication.Modular form 44400.2.a.dl
sage: E.q_eigenform(10)