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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 185020b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185020.c1 | 185020b1 | \([0, 1, 0, 8130, -966527]\) | \(7424/55\) | \(-440216843405680\) | \([]\) | \(584640\) | \(1.4914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185020b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185020b do not have complex multiplication.Modular form 185020.2.a.b
sage: E.q_eigenform(10)