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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 236600dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236600.dl1 | 236600dl1 | \([0, 0, 0, -1740700, 910656500]\) | \(-30211716096/1071875\) | \(-20694943587500000000\) | \([]\) | \(11819520\) | \(2.4787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236600dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236600dl do not have complex multiplication.Modular form 236600.2.a.dl
sage: E.q_eigenform(10)