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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 198744dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
198744.e1 | 198744dh1 | \([0, -1, 0, 394728, -96644484]\) | \(69212/81\) | \(-7960127683777790976\) | \([]\) | \(3833856\) | \(2.3130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 198744dh1 has rank \(2\).
Complex multiplication
The elliptic curves in class 198744dh do not have complex multiplication.Modular form 198744.2.a.dh
sage: E.q_eigenform(10)