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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 328560.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.e1 | 328560e1 | \([0, -1, 0, -219496, -154996304]\) | \(-81289/675\) | \(-9711303194200780800\) | \([]\) | \(8183808\) | \(2.3260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.e do not have complex multiplication.Modular form 328560.2.a.e
sage: E.q_eigenform(10)