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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 306735.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
306735.cd1 | 306735cd1 | \([0, 1, 1, -6816, 1974275]\) | \(-4096/195\) | \(-1667442382875555\) | \([]\) | \(2399040\) | \(1.6008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 306735.cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 306735.cd do not have complex multiplication.Modular form 306735.2.a.cd
sage: E.q_eigenform(10)