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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 422331.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.bc1 | 422331bc1 | \([0, -1, 1, -153001, 23885175]\) | \(-239251750912/9771957\) | \(-16178407908358059\) | \([]\) | \(3526656\) | \(1.8778\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.bc1 has rank \(3\).
Complex multiplication
The elliptic curves in class 422331.bc do not have complex multiplication.Modular form 422331.2.a.bc
sage: E.q_eigenform(10)