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SageMath
E = EllipticCurve("le1")
E.isogeny_class()
Elliptic curves in class 145200.le
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.le1 | 145200iv1 | \([0, 1, 0, -705833, 272742963]\) | \(-8780800/2187\) | \(-9686009767500000000\) | \([]\) | \(3628800\) | \(2.3610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.le1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.le do not have complex multiplication.Modular form 145200.2.a.le
sage: E.q_eigenform(10)