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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 103056.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.b1 | 103056n1 | \([0, -1, 0, 79520, 7534336]\) | \(13576487274110879/13886025965568\) | \(-56877162354966528\) | \([]\) | \(1153152\) | \(1.9018\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103056.b do not have complex multiplication.Modular form 103056.2.a.b
sage: E.q_eigenform(10)