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SageMath
E = EllipticCurve("qu1")
E.isogeny_class()
Elliptic curves in class 381150.qu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.qu1 | 381150qu1 | \([1, -1, 1, -195680, 36070147]\) | \(-1026590625/100352\) | \(-81000871015680000\) | \([]\) | \(4398240\) | \(1.9854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.qu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150.qu do not have complex multiplication.Modular form 381150.2.a.qu
sage: E.q_eigenform(10)