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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 159936.ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.ev1 | 159936kh1 | \([0, -1, 0, -6911809, 7169628481]\) | \(-1184052061112257/34349180544\) | \(-1059362371487938904064\) | \([]\) | \(7741440\) | \(2.8135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.ev1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.ev do not have complex multiplication.Modular form 159936.2.a.ev
sage: E.q_eigenform(10)