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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 418950p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.p1 | 418950p1 | \([1, -1, 0, -21492, 1324966]\) | \(-7025284375/747954\) | \(-116889783648750\) | \([]\) | \(1990656\) | \(1.4379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418950p do not have complex multiplication.Modular form 418950.2.a.p
sage: E.q_eigenform(10)