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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 162240.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162240.b1 | 162240hn1 | \([0, -1, 0, -121, 571]\) | \(-18264064/675\) | \(-7300800\) | \([]\) | \(46080\) | \(0.087875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162240.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162240.b do not have complex multiplication.Modular form 162240.2.a.b
sage: E.q_eigenform(10)