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SageMath
E = EllipticCurve("qu1")
E.isogeny_class()
Elliptic curves in class 310464.qu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.qu1 | 310464qu1 | \([0, 0, 0, -23565276, 44034276888]\) | \(-610325920583424/55240493\) | \(-130989666080682630144\) | \([]\) | \(17694720\) | \(2.8996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.qu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.qu do not have complex multiplication.Modular form 310464.2.a.qu
sage: E.q_eigenform(10)