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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 8030.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8030.e1 | 8030b1 | \([1, -1, 0, -2680, 54080]\) | \(-2129213662543449/150064640\) | \(-150064640\) | \([]\) | \(13248\) | \(0.62157\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8030.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8030.e do not have complex multiplication.Modular form 8030.2.a.e
sage: E.q_eigenform(10)