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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 17661h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17661.d1 | 17661h1 | \([1, 0, 0, -32, -75]\) | \(-4317433/189\) | \(-158949\) | \([]\) | \(1800\) | \(-0.23667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17661h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17661h do not have complex multiplication.Modular form 17661.2.a.h
sage: E.q_eigenform(10)