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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 36225bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36225.cj1 | 36225bs1 | \([0, 0, 1, -21675, 1433281]\) | \(-98867482624/20696067\) | \(-235741138171875\) | \([]\) | \(192000\) | \(1.4795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36225bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36225bs do not have complex multiplication.Modular form 36225.2.a.bs
sage: E.q_eigenform(10)