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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 261360.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
261360.h1 | 261360h1 | \([0, 0, 0, -22143, -1321683]\) | \(-1568892672/78125\) | \(-59790183750000\) | \([]\) | \(940800\) | \(1.4046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 261360.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 261360.h do not have complex multiplication.Modular form 261360.2.a.h
sage: E.q_eigenform(10)