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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 335730.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
335730.cu1 | 335730cu1 | \([1, 0, 0, -73471, 8651801]\) | \(-932288503609/148800000\) | \(-7000427092800000\) | \([]\) | \(2533680\) | \(1.7685\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 335730.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 335730.cu do not have complex multiplication.Modular form 335730.2.a.cu
sage: E.q_eigenform(10)