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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 271950e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.e1 | 271950e1 | \([1, 1, 0, -11294525, 14393282625]\) | \(1768981696093969/29494975500\) | \(2656760379021492187500\) | \([]\) | \(20127744\) | \(2.9094\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950e do not have complex multiplication.Modular form 271950.2.a.e
sage: E.q_eigenform(10)