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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 200.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200.e1 | 200e1 | \([0, 0, 0, 5, -10]\) | \(270\) | \(-51200\) | \([]\) | \(24\) | \(-0.41352\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200.e do not have complex multiplication.Modular form 200.2.a.e
sage: E.q_eigenform(10)