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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 177600cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.w1 | 177600cl1 | \([0, -1, 0, 3467, 40237]\) | \(449945600/332667\) | \(-3406510080000\) | \([]\) | \(322560\) | \(1.0930\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600cl do not have complex multiplication.Modular form 177600.2.a.cl
sage: E.q_eigenform(10)