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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 445280.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.v1 | 445280v1 | \([0, 0, 0, -9317, -351384]\) | \(-6519744/115\) | \(-1577681364160\) | \([]\) | \(557568\) | \(1.1378\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 445280.v do not have complex multiplication.Modular form 445280.2.a.v
sage: E.q_eigenform(10)