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SageMath
E = EllipticCurve("fa1")
E.isogeny_class()
Elliptic curves in class 303450.fa
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.fa1 | 303450fa1 | \([1, 1, 1, -34467013, -77857596469]\) | \(138796634818647985/86032171008\) | \(2806833185452800000000\) | \([]\) | \(28788480\) | \(3.0578\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.fa1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.fa do not have complex multiplication.Modular form 303450.2.a.fa
sage: E.q_eigenform(10)