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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 11858b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.l1 | 11858b1 | \([1, -1, 0, -4076, -21400]\) | \(14553/8\) | \(4117405386248\) | \([]\) | \(19008\) | \(1.1112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11858b do not have complex multiplication.Modular form 11858.2.a.b
sage: E.q_eigenform(10)