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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 430950.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.a1 | 430950a1 | \([1, 1, 0, -2748450, -1799263500]\) | \(-48711031225/1442688\) | \(-68003705298750000000\) | \([]\) | \(25401600\) | \(2.5840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.a do not have complex multiplication.Modular form 430950.2.a.a
sage: E.q_eigenform(10)