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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 445280.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.e1 | 445280e1 | \([0, 0, 0, -1126972, -460487456]\) | \(-319387394710714176/1399205\) | \(-693468385280\) | \([]\) | \(5271552\) | \(1.9006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 445280.e do not have complex multiplication.Modular form 445280.2.a.e
sage: E.q_eigenform(10)