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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 134310.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.bc1 | 134310cd1 | \([1, 0, 1, -34004, -3176494]\) | \(-2454365649169/1035763200\) | \(-1834917690355200\) | \([]\) | \(1199520\) | \(1.6367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134310.bc do not have complex multiplication.Modular form 134310.2.a.bc
sage: E.q_eigenform(10)