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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 113288bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
113288.b1 | 113288bc1 | \([0, 0, 0, -26299, -4058138]\) | \(-1660932/4913\) | \(-5950265291113472\) | \([]\) | \(1327104\) | \(1.7137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 113288bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 113288bc do not have complex multiplication.Modular form 113288.2.a.bc
sage: E.q_eigenform(10)