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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 40432l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40432.f1 | 40432l1 | \([0, -1, 0, -43440, -994301]\) | \(92416/49\) | \(4806755946115984\) | \([]\) | \(109440\) | \(1.7005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40432l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40432l do not have complex multiplication.Modular form 40432.2.a.l
sage: E.q_eigenform(10)