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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 14450a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14450.l1 | 14450a1 | \([1, 0, 1, 3395599, 2219014948]\) | \(2336752783/2500000\) | \(-4632338925664062500000\) | \([]\) | \(913920\) | \(2.8439\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14450a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14450a do not have complex multiplication.Modular form 14450.2.a.a
sage: E.q_eigenform(10)