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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 11368.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11368.h1 | 11368d1 | \([0, -1, 0, 327, -3107]\) | \(128000/203\) | \(-6113983232\) | \([]\) | \(6144\) | \(0.56302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11368.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 11368.h do not have complex multiplication.Modular form 11368.2.a.h
sage: E.q_eigenform(10)