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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 355740ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.ce1 | 355740ce1 | \([0, -1, 0, -126485, 158819025]\) | \(-205520896/9882675\) | \(-10761250717497772800\) | \([]\) | \(6220800\) | \(2.3319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 355740ce do not have complex multiplication.Modular form 355740.2.a.ce
sage: E.q_eigenform(10)