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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 88445bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.l1 | 88445bk1 | \([1, 0, 0, -37010, -2743525]\) | \(877952898529/15625\) | \(99777015625\) | \([]\) | \(196992\) | \(1.2378\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445bk do not have complex multiplication.Modular form 88445.2.a.bk
sage: E.q_eigenform(10)