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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 46800.ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.ev1 | 46800dg1 | \([0, 0, 0, -615, 6770]\) | \(-5513680/1053\) | \(-4912876800\) | \([]\) | \(18432\) | \(0.58342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.ev1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.ev do not have complex multiplication.Modular form 46800.2.a.ev
sage: E.q_eigenform(10)