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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 254100.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.bc1 | 254100bc1 | \([0, -1, 0, -2883833, -1936598838]\) | \(-1979760640/64827\) | \(-86851519866168750000\) | \([]\) | \(10264320\) | \(2.6009\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254100.bc do not have complex multiplication.Modular form 254100.2.a.bc
sage: E.q_eigenform(10)