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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 444675.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.e1 | 444675e1 | \([0, -1, 1, -938758, -576618582]\) | \(-1376628736/1366875\) | \(-90844177545966796875\) | \([]\) | \(17418240\) | \(2.5254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 444675.e do not have complex multiplication.Modular form 444675.2.a.e
sage: E.q_eigenform(10)