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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 196294.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
196294.e1 | 196294j1 | \([1, -1, 0, -940, -14932]\) | \(-781229961/392588\) | \(-46187585612\) | \([]\) | \(787968\) | \(0.75129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 196294.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 196294.e do not have complex multiplication.Modular form 196294.2.a.e
sage: E.q_eigenform(10)