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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 230640.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230640.e1 | 230640e1 | \([0, -1, 0, -354432496, 2581789558720]\) | \(-1354547383894636849/8173828125000\) | \(-29713623239880000000000000\) | \([]\) | \(107827200\) | \(3.7273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 230640.e do not have complex multiplication.Modular form 230640.2.a.e
sage: E.q_eigenform(10)