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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 46800ev
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46800.ey1 | 46800ev1 | \([0, 0, 0, -13638000, -19714412500]\) | \(-769623354048512/15247889631\) | \(-5557855770499500000000\) | \([]\) | \(2688000\) | \(2.9653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800ev1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46800ev do not have complex multiplication.Modular form 46800.2.a.ev
sage: E.q_eigenform(10)