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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 14450e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14450.e1 | 14450e1 | \([1, 1, 0, 11750, 456500]\) | \(2336752783/2500000\) | \(-191914062500000\) | \([]\) | \(53760\) | \(1.4273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14450e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14450e do not have complex multiplication.Modular form 14450.2.a.e
sage: E.q_eigenform(10)