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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 17325bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17325.h1 | 17325bc1 | \([0, 0, 1, -28425, -1850594]\) | \(-222985990144/841995\) | \(-9590849296875\) | \([]\) | \(64512\) | \(1.3504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17325bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17325bc do not have complex multiplication.Modular form 17325.2.a.bc
sage: E.q_eigenform(10)