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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 73638.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73638.b1 | 73638b1 | \([1, -1, 0, -72, 544]\) | \(-57066625/130912\) | \(-95434848\) | \([]\) | \(21360\) | \(0.21961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73638.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73638.b do not have complex multiplication.Modular form 73638.2.a.b
sage: E.q_eigenform(10)