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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 68970.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 68970.d1 | 68970b1 | \([1, 1, 0, -1049591633, 13264402599573]\) | \(-4930125119275609518529/77547870720000000\) | \(-2011392049768095582720000000\) | \([]\) | \(49008960\) | \(4.0405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68970.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68970.d do not have complex multiplication.Modular form 68970.2.a.d
sage: E.q_eigenform(10)