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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 20328.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20328.h1 | 20328r1 | \([0, -1, 0, 229376, -100918244]\) | \(50250332/194481\) | \(-5165400344398930944\) | \([]\) | \(337920\) | \(2.2735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20328.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20328.h do not have complex multiplication.Modular form 20328.2.a.h
sage: E.q_eigenform(10)