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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 101400.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101400.b1 | 101400m1 | \([0, -1, 0, -985833, 450917037]\) | \(-8780800/2187\) | \(-26390578207500000000\) | \([]\) | \(3769920\) | \(2.4446\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101400.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101400.b do not have complex multiplication.Modular form 101400.2.a.b
sage: E.q_eigenform(10)