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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 36300.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36300.b1 | 36300t1 | \([0, -1, 0, -5133, -139863]\) | \(-30908416/3\) | \(-1452000000\) | \([]\) | \(40320\) | \(0.79385\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36300.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36300.b do not have complex multiplication.Modular form 36300.2.a.b
sage: E.q_eigenform(10)