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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 27930.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27930.b1 | 27930a1 | \([1, 1, 0, -41038, 8994868]\) | \(-1325911351849/5318784000\) | \(-30661731321984000\) | \([]\) | \(282240\) | \(1.8488\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27930.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27930.b do not have complex multiplication.Modular form 27930.2.a.b
sage: E.q_eigenform(10)