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SageMath
E = EllipticCurve("ei1")
E.isogeny_class()
Elliptic curves in class 323400.ei
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.ei1 | 323400ei1 | \([0, -1, 0, -1248775208, -17240316213588]\) | \(-91528907990864450/1604769890031\) | \(-3775991455845142380000000000\) | \([]\) | \(191600640\) | \(4.0889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.ei1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.ei do not have complex multiplication.Modular form 323400.2.a.ei
sage: E.q_eigenform(10)