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SageMath
E = EllipticCurve("hd1")
E.isogeny_class()
Elliptic curves in class 303450.hd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.hd1 | 303450hd1 | \([1, 0, 0, 12423237, 37404293517]\) | \(77817381935/266827932\) | \(-727080832857672660937500\) | \([]\) | \(57576960\) | \(3.2616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.hd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.hd do not have complex multiplication.Modular form 303450.2.a.hd
sage: E.q_eigenform(10)