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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 21160b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21160.c1 | 21160b1 | \([0, 0, 0, -48668, -3358092]\) | \(635904/125\) | \(2505951528992000\) | \([]\) | \(79488\) | \(1.6714\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21160b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21160b do not have complex multiplication.Modular form 21160.2.a.b
sage: E.q_eigenform(10)