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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 297024.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297024.h1 | 297024h1 | \([0, -1, 0, -97377, 11729889]\) | \(-779089619053874/115296363\) | \(-15112124891136\) | \([]\) | \(1492992\) | \(1.5428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 297024.h do not have complex multiplication.Modular form 297024.2.a.h
sage: E.q_eigenform(10)