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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 100022.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100022.b1 | 100022d1 | \([1, 1, 0, -116, -520]\) | \(174958262857/5201144\) | \(5201144\) | \([]\) | \(44736\) | \(0.065616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100022.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100022.b do not have complex multiplication.Modular form 100022.2.a.b
sage: E.q_eigenform(10)