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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 374790.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.bc1 | 374790bc1 | \([1, 1, 0, -6452, 207696]\) | \(-997302429271/64696320\) | \(-1927368069120\) | \([]\) | \(1013760\) | \(1.1101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.bc do not have complex multiplication.Modular form 374790.2.a.bc
sage: E.q_eigenform(10)