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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 20230l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20230.p1 | 20230l1 | \([1, 0, 0, -258661, 50730241]\) | \(-79290863149681/213248000\) | \(-5147288314112000\) | \([]\) | \(152064\) | \(1.8890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20230l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20230l do not have complex multiplication.Modular form 20230.2.a.l
sage: E.q_eigenform(10)