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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 14450o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14450.p1 | 14450o1 | \([1, -1, 0, 2258, 87716]\) | \(84375/272\) | \(-4103386730000\) | \([]\) | \(55296\) | \(1.1034\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14450o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14450o do not have complex multiplication.Modular form 14450.2.a.o
sage: E.q_eigenform(10)