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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 177600ha
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.b1 | 177600ha1 | \([0, -1, 0, -11713, 3112897]\) | \(-5423945093/124291584\) | \(-4072786624512000\) | \([]\) | \(1327104\) | \(1.6760\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600ha1 has rank \(2\).
Complex multiplication
The elliptic curves in class 177600ha do not have complex multiplication.Modular form 177600.2.a.ha
sage: E.q_eigenform(10)