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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 289800dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
289800.dd1 | 289800dd1 | \([0, 0, 0, -1894275, -1018126125]\) | \(-4124632486295808/70140333767\) | \(-12783075829035750000\) | \([]\) | \(4816896\) | \(2.4648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289800dd do not have complex multiplication.Modular form 289800.2.a.dd
sage: E.q_eigenform(10)