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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 28880b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28880.c1 | 28880b1 | \([0, 1, 0, -173761, -18032565]\) | \(369664/125\) | \(196194120249632000\) | \([]\) | \(295488\) | \(2.0204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28880b do not have complex multiplication.Modular form 28880.2.a.b
sage: E.q_eigenform(10)