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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 70560dd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 70560.o1 | 70560dd1 | \([0, 0, 0, -588, -8512]\) | \(-153664/125\) | \(-18289152000\) | \([]\) | \(34560\) | \(0.66728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70560dd do not have complex multiplication.Modular form 70560.2.a.dd
sage: E.q_eigenform(10)