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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1368.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1368.d1 | 1368c1 | \([0, 0, 0, 492, -3004]\) | \(70575104/61731\) | \(-11520486144\) | \([]\) | \(768\) | \(0.61811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1368.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1368.d do not have complex multiplication.Modular form 1368.2.a.d
sage: E.q_eigenform(10)