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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 17325v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17325.e1 | 17325v1 | \([0, 0, 1, -75, -27594]\) | \(-4096/28875\) | \(-328904296875\) | \([]\) | \(27648\) | \(0.88884\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17325v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17325v do not have complex multiplication.Modular form 17325.2.a.v
sage: E.q_eigenform(10)