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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 103056o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.g1 | 103056o1 | \([0, -1, 0, 10499, 14737]\) | \(499903512190976/289857231459\) | \(-74203451253504\) | \([]\) | \(314496\) | \(1.3509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103056o do not have complex multiplication.Modular form 103056.2.a.o
sage: E.q_eigenform(10)