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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 103056j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.t1 | 103056j1 | \([0, 1, 0, -532, 15884]\) | \(-65168050768/397609371\) | \(-101787998976\) | \([]\) | \(129024\) | \(0.79585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 103056j do not have complex multiplication.Modular form 103056.2.a.j
sage: E.q_eigenform(10)