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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 150075bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.q1 | 150075bb1 | \([0, 0, 1, -8250, 288281]\) | \(1177583616/667\) | \(35173828125\) | \([]\) | \(124160\) | \(0.97028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 150075bb do not have complex multiplication.Modular form 150075.2.a.bb
sage: E.q_eigenform(10)