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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 369600dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.dl1 | 369600dl1 | \([0, -1, 0, -4077633, -3215570463]\) | \(-91528907990864450/1604769890031\) | \(-131462749391339520000\) | \([]\) | \(12773376\) | \(2.6578\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600dl do not have complex multiplication.Modular form 369600.2.a.dl
sage: E.q_eigenform(10)