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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 235950e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.e1 | 235950e1 | \([1, 1, 0, -273825, 72127125]\) | \(-27117145/11232\) | \(-940499590387500000\) | \([]\) | \(5464800\) | \(2.1569\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235950e do not have complex multiplication.Modular form 235950.2.a.e
sage: E.q_eigenform(10)