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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 110400bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.bc1 | 110400bk1 | \([0, -1, 0, -4513, 116257]\) | \(1551443665/29808\) | \(195349708800\) | \([]\) | \(147456\) | \(0.95952\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400bk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 110400bk do not have complex multiplication.Modular form 110400.2.a.bk
sage: E.q_eigenform(10)