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SageMath
E = EllipticCurve("ln1")
E.isogeny_class()
Elliptic curves in class 235200.ln
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.ln1 | 235200ln1 | \([0, -1, 0, -138833, -21359463]\) | \(-6288640/567\) | \(-26682793200000000\) | \([]\) | \(1474560\) | \(1.8951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.ln1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.ln do not have complex multiplication.Modular form 235200.2.a.ln
sage: E.q_eigenform(10)