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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 119952.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.eb1 | 119952ck1 | \([0, 0, 0, -641067, -197549478]\) | \(932673987/68\) | \(2124286186143744\) | \([]\) | \(645120\) | \(1.9919\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.eb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.eb do not have complex multiplication.Modular form 119952.2.a.eb
sage: E.q_eigenform(10)