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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 249090.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.bc1 | 249090bc1 | \([1, 0, 1, 3196286, -988047088]\) | \(76760748228274271/53390884687500\) | \(-2511821207492847187500\) | \([]\) | \(29836800\) | \(2.7948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249090.bc do not have complex multiplication.Modular form 249090.2.a.bc
sage: E.q_eigenform(10)