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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 273600b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.b1 | 273600b1 | \([0, 0, 0, -14700, 685800]\) | \(20329747200/6859\) | \(118523520000\) | \([]\) | \(479232\) | \(1.0970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273600b do not have complex multiplication.Modular form 273600.2.a.b
sage: E.q_eigenform(10)